Can you explain why a larger denominator actually means the fraction is smaller than a fraction with a smaller denominator? Why is it helpful to know how to compare and order fractions? Can you think of situations where you will need to compare and/or order fractions?

Answers

Answer 1

Answer:

It is helpful to know how to compare and order fractions  because when doing division between different groups or classes it is easy to determine their share and so on.

Step-by-step explanation:

Suppose we have two fractions 1/2 and 1/3 . And suppose we have two cakes of equal sizes. We cut the first cake into 2 equal parts and the 2nd cake into three equal parts.

Now comparing both the cakes the cake with two pieces  will have a larger piece as compared to the cake having three pieces.

So 1/2 > 1/3

or half of the cake is greater than one third of the cake.

The larger denominator means a smaller fraction because it shows greater number of divisions. Like wise a fraction with smaller denominator is a larger fraction as it shows smaller number of divisions.

It is helpful to know how to compare and order fractions  because when doing division between different groups or classes it is easy to determine their share and so on.

It can be employed between the different groups and to find different rates / scores or for statistical calculations etc.

In finding the order of division and so on.


Related Questions

You start at (-2, 2). You move up 1 unit and left 3 units. Where do you end?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

Moving up one will give you (-2, 3) and moving left three brings you to (-5, 3).

Which expression converts 100 inches per minute to feet per minute?

StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction

Answers

Answer:

100 inches Over 1 minute times × 1 foot Over 12 inches

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?

Answers

Answer:

6 min for Marge's and 7 for Dan's plan

Step-by-step explanation:

0.14x6=0.84

0.12x7=0.84

One taxi company charges $12.50 plus $0.15 per mile for a fare to the airport. Another taxi
company charges $6.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?

HELP ME PLEASE ‼️‼️‼️

Answers

Answer:

Step-by-step e I can use inequalities to solve word problems with one or more ... Money: The coupon is good for any item that costs less than $10. ... than or equal to ban ... Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. ... has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00.xplanation:

Solve for s. 7 - 45 = -3s ​

Answers

Answer:

12.7=s

Step-by-step explanation:

First, write the equation and combine like terms.

7-45=-3s

-38=-3s

Next, divide both sides by 3.

-38=-3s

/-3  /-3

12.7=s (I rounded the answer.)

Hope this helps! Have a great day C:

which figure shows that M is a midpoint ? select all apply

Answers

Answer:

I don't see the figures.

Step-by-step explanation:

Given: Triangle ABC is right isosceles. X is the
midpoint of AC. AB = BC
Prove: Triangle AXB is isosceles.

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Point X is the midpoint of line AC.

Since coordinates of the midpoint of the segment joining endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Therefore, coordinates of the point X will be,

= [tex](\frac{0+2a}{2},\frac{2a+0}{2})[/tex]

= (a, a)

From triangle AXB,

Length of AB = 2a

Length of AX = [tex]\sqrt{(a-0)^2+(a-2a)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of BX = [tex]\sqrt{(a-0)^2+(a-0)^2}[/tex]

                      = [tex]a\sqrt{2}[/tex]

Length of AX = BX = [tex]a\sqrt{2}[/tex]

Therefore, triangle AXB is an isosceles triangle.

3. Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 more than one
cupcake, and the total cost of the order was $53.50. What was the price of each cupcake?
a) Define a variable for the cost of one cupcake.
b) Write an expression to represent the cost of a layer cake.
c) Write and solve an equation.
d) Interpret your solution within the context of the problem.

Answers

Answer:

$2.14

Step-by-step explanation:

x =  price

24x+(x+16) = 53.5

25x+16 = 53.5

25x+53.5

x=53.5/25=2.14

PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!

An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?

1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters

Answers

Answer:

I believe its 1. -18 meters

Step-by-step explanation:

first find how many meters the elevator is descending per minute. to do this:

what is 12% of 75?

(75×.12) = 9

the elevator is descending 9 meters per minute.

9×2=18

IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!

My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19

Answers

Answer:

21 or 12

Step-by-step explanation:

Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).

So, the number of the other house is “yx”, whose numerical value = (10y + x).

Let, “xy” > “yx”.

Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.

Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).

So, (x - y) = 8.

Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:

I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.

II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.

So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).

A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number

Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number

For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81

As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91

When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80

What Is 2+4? I need to know.

Answers

Answer:

the answer is 6

Step-by-step explanation:

Answer:

6! Hope this helps have a great night!!!!

Step-by-step explanation:

May I plz have brainliest?

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function?
The value of x can be ____
The value of y can be ____

(any real number, any real number except 5, any real number except 5 and -2)


Answers

Answer:

3, 0

Step-by-step explanation:

Subtract 2.

5 - 3 = 2.

-2 - 2 = 0

Answer:

The value of x can be

✔ any real number except 5

The value of y can be

✔ any real number

.Step-by-step explanation:

can someone answer this and explain? and the one below, will mark brainlest

Answers

Step-by-step explanation:

there were 50 boxes of gum

each box had 36 packs of gum

in each pack were 15 pieces of gum

so total pieces of gum:

for one box of gum total pieces= 15*36= 540 pieces

for 50 boxes= 540*50= 27000 pieces of gum in total

number sentence:

15*36=540

540*50= 27000

bonus question:

27 gums in 1 day

27000 gums in x days

27000/27= 1000 days

Answer:

540 pieces x 50

27000/27=1000 days

Given the function g(x)= -3x+2, find the following:
f(1)=
f(-1)=
Write your answers as ordered pairs.
Hurry please help!

Answers

Answer:

(-1,5)

Step-by-step explanation:


Find the area

10.4 in
6 in
6 in
6 in

Answers

24in and have a good day

Whlch statement best describes how to determine when a graph is a function?​

Answers

Answer:

why is the graph so i can help you

Step-by-step explanation:

Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?

Answers

Answer: CD = 10

Step-by-step explanation:

Subtract the smaller one from the larger one.

D(14, 2) - C(4, 2)

First, you subtract the x-values:

14 - 4 = 10

Then, you subtract your y-values:

2 - 2 = 0

Since the y-value is 0 (since it is a straight line), your distance of CD is 10.

Hope this helps!

can someone help me ​

Answers

Answer:

B

Step-by-step explanation:

Cuz the other would be a straight line

what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.

Answers

Answer:

2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4

Step-by-step explanation:

I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.

Which two ratios form a proportion? 3:4 and 6:12 3:4 and 9:15 3:4 and 12:18 3:4 and 15:20

Answers

Answer:

3:4 and 15:20

Step-by-step explanation:

3:4 and 15:20

15/3 = 5

20/4 = 5

Write what the equation will look like on the next line...
after you combine like terms.
3x + 5 + 7 = 9

Answers

Answer:

3x+12=9

Step-by-step explanation:

5 and 7 are like terms so you add them.

3x+12=9
Explanation: you combine 5 and 7 because they are like terms (both numbers that do not have a variable attached to them)
:))


Could I have brainliest?

zia can make 12 batches of cookies in 6 hours. How long does it take her to make 2 batches of cookies? Show (visual representation) or explain (explanation using academic vocabulary) your reasoning.

Answers

Answer:

1hour

Step-by-step explanation:

1 hour because twelve divided by 6 is 2

6 Ms. Flynn's class is painting a circular canvas. Its diameter is 5 feet. What is
the area of the canvas to the nearest whole number? Use 3.14 for .

Answers

19.625 ft
3.14(2.5 squared) =19.625

Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?

Answers

Answer:

30% on Monday 46% on Tuesday

Step-by-step explanation:

Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't  half because half of 13 is 6.5

What is -1 1/4 + -3/8

Answers

Answer:

-13/8

Step-by-step explanation:

Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9

Answers

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B

Help me please :>>>>>

Answers

Answer:

B, D

Step-by-step explanation:

The correct answer is B and D

Question:

What is the other term of removing sets from a universal set?

Thank you. ​

Answers

Answer:

Subset

Step-by-step explanation:

A subset is a group of elements whose values were obtained from a larger set known as the universal set.

For example, say we have a universal set of all the numbers from 10 to 20

{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A subset of the even numbers include;

{10, 12, 14, 16, 18, 20}

A subset of the odd numbers include;

{11, 13, 15, 17, 19,}

These figures in the subset were derived from the universal set which is the larger set.

Divide. Write your answer in simplest form. 1/9 divided 5/4?

Answers

Answer: (1)/(9)-:(5)/(4)

Step-by-step explanation:

*^*^c(1)/(9)-:(5)/(4)*^*^

*^*^(1)/(9)-:(5)/(4)*^*^

*^*^The result can be shown in multiple forms. *^*^

*^*^Exact Form:4  45 *^*^

*^*^Decimal Form:

*^*^0.0 8

jennifer bikes 7 miles south and then turns to bike 13 miles east how far away is she from where she started?

Answers

Answer:

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = [tex]\sqrt{218}[/tex]

∴ hypotenuse ≅ 14.76482306

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.

Other Questions
Jonas taught math at the school for over nine years.Passive or active Which civilization formed a confederation that may have impacted the USgovernment?A) AnasaziOB) IroquoisC) PowhatanOD) Algonquian which TWO phrases or sentences support the answer to Part A? please answer this one Using the DTM above, what occurs to a population during Stage 2?Question 34 options:Birth rate drops while death rate remains the samedeath rate drops while birth rates remain the samebirth and death rates are equalfamily planning is introduced leading to lowering birth rates __3. This hunchback man is a son of well-known citizen of Arras who eventually sacrificed his priesthood life for marriage.A. Adam de la HalleB. Claudio MonteverdiC.Giovanni Pierluigid de PalestrinaD. Johann Sebastian Bach;( 20. The consumer price index was 120 in 2013 and 126 in 2014. The nominal interest rate during this period was 8 percent. What was the real interest rate during this period? A) 3 percent B) 2 percent C) 3.3 percent D) 5.2 percent E) 12.8 percent What is the role of photosynthesis and cellular respiration in the cycling of matter and the flow of energy through the ecosystem Write an equation of the line passing through point P(2, 6) that is parallel to the line x=5. Our inability to accept our limitations may make our life a tragedy. Analyse with reference to the story The Necklace. Which is the best estimate for the width of a typical adult hand? What is 17x - (217/19) please answer ASAP choose all the answers that apply without decomposers: chemical nutrients would not return to the soil dead organisms would pile up the sun's energy could not be used matter would not be recycled an ecosystem is unbalanced MULTIPLE CHOICE!! 7 + (3) simplify please Select all polynomials that have (x + 2) as a factor.Choose all answers that apply:A A(x) = x^3 3x^2 10xB B(x)= x^3+ 5x^2 + 4xC C(x)= x^3 2x^2 13x 10D D(x) = x^3 6x + 11x- 6 Imports and Exports are the two major components in balance of trade. Please select the best answer from the choices provided True or false What is one difference between a mendicant order and monastic order?0 Friars taught Christianity, why monks did not0 Friars lived in poverty, while monks did not0 Friars were women, while monks were men0 Friars traveled, while monks live in monasteries que otros recursos utilizan los anuncios para persuadir alas personas a consumir los productos Please help me ASAP I will try to give brainliest,can u rewrite this paragraph in other words Hi guys Im bored can someone talk to me please? :)