ORDERING FRACTIONS WITH DIFFERENT DENOMINATORS PRACTICE PROBLEMS

Order the numbers from least to greatest.

Problem 1 :

4/25, 2/9, 1/6

Solution

Problem 2 :

11/24, 3/7, 9/21

Solution

Problem 3 :

7/20, 5/12, 3/8

Solution

Problem 4 :

19/40, 2/5, 21/45

Solution

Problem 5 :

Of the trees in the park, 3/8 were pines and 3/5 were spruce. Were there more pines or more spruce trees in the park ?

Solution

Problem 6 :

Which is greater 3/20 or 16% ?

Solution

Problem 7 :

Which is greater 79% or 0.08 ?

Solution

Problem 8 :

Which is greater 25% or 7/25 ?

Solution

Problem 9 :

You make 75% of your shots, your sister makes 13/20 of her shots, and your friend makes 0.7 of his shots. Who made the most shots?

Solution

Problem 10 :

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Solution

Order the numbers from least to greatest

Problem 11 :

2.62, 2  2/5, 26.8%, 2.26, 271%

Solution

Problem 12 :

87/100, 0.44, 43.7%, 21/50

Solution

Arrange the fractions from least to greatest.

Problem 1 :

11/9, 7/6, 1 1/3

Solution

Problem 2 :

27/8, 13/4, 3 1/2 

Solution

Problem 3 :

1/5, 8/15,  3/10

Solution

Problem 4 :

14/33, 5/11, 9/22

Solution

Problem 5 :

4/9, 3/4, 7/15

Solution

Problem 6 :

11/15, 5/6, 7/10,

Solution

Problem 7 :

2 5/12, 12/5, 43/18

Solution

Problem 8 :

1 13/33, 1 1/3, 10/7

Solution

Problem 9 :

Tell which letter shows the graph of the number.

1)  2/5        2)  45.2%      3)  0.435     4)  4/9

Solution

Problem 10 :

The Tour de France is a bicycle road race. The whole race is made up of 21 small races called stages. The table shows how several stages compare to the whole Tour de France. Order the stages from shortest to longest

Solution

Problem 11 :

The table shows the portions of the world population that live in four countries. Order the countries by population from least to greatest.

Solution

Problem 1 :

1/4, 2/7

Solution

Problem 2 :

2/3, 5/8

Solution

Problem 3 :

7/10, 11/15

Solution

Problem 4 :

3/5, 6/11

Solution

Problem 5 :

5/12, 4/15

Solution

Problem 6 :

7/20, 9/25

Solution

Problem 7 :

5/18, 8/21

Solution

Problem 8 :

11/42, 20/63

Solution

Problem 9 :

Convert all the decimals into fraction and then find lowest value.

a) 0.82, 4/5

b) 0.2, 6/25

c) 0.4, 7/20

Solution

Problem 10 :

Convert these lists of numbers into decimals, and then place them on the number line

1.3, 0.2, 1.5, 3/4, 1, 4/5

Solution

Answer Key

1)  2/7 > 1/4

2)  2/3 > 5/8

3)  11/15 > 7/10

4)  3/5 > 6/11

5)  5/12 > 4/15

6)  9/25 > 7/20

7)  8/21 > 5/18

8)  20/63 > 11/42

9) a)   4/5 is lesser.

b)  0.2 is lesser.

c)   0.4 is lesser.

10)  

Arranging the decimals from least to greatest, we get

0.06, 0.2, 0.8, 1, 1.3, 1.5

Order this list from smallest to largest.

Problem 1 :

0.3, 15%, 2, 1/2

Solution

Problem 2 :

3/4, 3, 0.4, 5%

Solution

Problem 3 :

0.14, 4%, 0.48, 1/5

Solution

Problem 4 :

0.46, 3%, 1/4, 0.14

Solution

Problem 5 :

6/5, 58.9%, 1.77, 0.169

Solution

Problem 6 :

The figure shows the portions of ultraviolet (UV) rays reflected by four different surfaces. How many times more UV rays are reflected by water than by sea foam?

Solution

Problem 7 :

You, your sister, and a friend each take the same number of shots at a soccer goal. You make 72% of your shots, your sister makes 19/25 of her shots, and your friend makes 0.67 of his shots. Who made the fewest shots?

Solution

Problem 8 :

Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow?

b. How many times more students said red than yellow?

c. Use two methods to find the percent of students who said green. Which method do you prefer?

Solution

Problem 9 :

You make 75% of your shots, your sister makes 13/20 of her shots, and your friend makes 0.7 of his shots. Who made the most shots?

Solution

Problem 10 :

The map shows the portions of the U.S. population that live in five states. List the five states in order by population from least to greatest.

Solution