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Fraction Comparison and Equivalency

Total questions: 12

Worksheet time: 16mins

Name
Class
Date
1.

Sheldon ate  48\frac{4}{8}  of his bag of Cool Ranch Doritos. Which of the following fractions is NOT equivalent to  48\frac{4}{8}  ?

a)

 24\frac{2}{4}  

b)

 816\frac{8}{16}  

c)

 14\frac{1}{4}  

d)

 612\frac{6}{12}  

2.

Chucky, Tommy, and Angelica, and Phil each bought a medium pizza from Dominos. Chucky ate  16\frac{1}{6}  of his pizza, Tommy ate  18\frac{1}{8}  of his pizza, Angelica ate  15\frac{1}{5}  of her pizza and Phil ate  12\frac{1}{2}  of his pizza. Who ate the smallest portion of their pizza?

a)

Chucky

b)

Angelica

c)

Tommy

d)

Phil

3.

Which fraction is equivalent to  34\frac{3}{4}  ?

a)

 612\frac{6}{12}  

b)

 68\frac{6}{8}  

c)

 38\frac{3}{8}  

d)

 98\frac{9}{8}  

4.

Which symbol correctly compares  14\frac{1}{4}  to  36\frac{3}{6}  ?

a)

>

b)

<

c)

=

5.

Select ALL the fractions that are equivalent to a whole number.

a)

 62\frac{6}{2}  

b)

 56\frac{5}{6}  

c)

 123\frac{12}{3}  

d)

 51\frac{5}{1}  

e)

 34\frac{3}{4}  

6.

Harry and Ron both bought chocolate frogs on the Hogwarts Express. Harry ate  23\frac{2}{3}  of his chocolate frog. Ron ate  56\frac{5}{6}  of his chocolate frog. Which boy has more of his chocolate frog left?

a)

Harry

b)

Ron

7.

How can you explain why  58\frac{5}{8}  is greater than  28\frac{2}{8}  ?

a)

If  58\frac{5}{8}  and  28\frac{2}{8}  are on the same number line,  28\frac{2}{8}  is closer to 1 than  58\frac{5}{8}  .

b)

When comparing fractions, the fraction with the greatest numerator is ALWAYS greater.

c)

When the same whole is divided into 8 equal parts, five parts are larger than 2 parts.

8.

A fraction is equivalent to  68\frac{6}{8}  and has a denominator of 16. What is the numerator?

a)

3

b)

18

c)

12

d)

2

9.

Mrs. McDonald and Mrs. Williams were running in a race. Mrs. McDonald stopped for water after running  34\frac{3}{4}  of the race. Mrs. Williams stopped for water after running  512\frac{5}{12}  of the race. Who ran farther before taking a water break?

a)

Mrs. Williams ran farther because the numerator of her fraction of the race is more than the numerator of Mrs. McDonald's  fraction of the race.

b)

Mrs. McDonald ran farther because she ran more than half of the race before taking a break, and Mrs. Williams ran less than half of the race before taking a break. 

c)

Mrs. Williams ran farther because she was closer to finishing the race when she took a break than Mrs. McDonald was when she  took a break.

d)

Mrs. McDonald ran farther because fourths are larger than twelfths.

10.

A recipe for chocolate cake calls for  68\frac{6}{8}  of a cup of sugar. Mrs. McDonald only has a  14\frac{1}{4}  cup measuring cup. How many times will she need to fill the  14\frac{1}{4}  cup to equal  68\frac{6}{8}  cup of sugar?

a)

2

b)

3

c)

4

d)

5

11.

A fraction is equivalent to  26\frac{2}{6}  , it has a numerator of 8. What is its denominator?

a)

18

b)

24

c)

30

d)

36

12.

Which fraction below is greater than the benchmark fraction  12\frac{1}{2}  ?

a)

 26\frac{2}{6}  

b)

 38\frac{3}{8}  

c)

 610\frac{6}{10}  

d)

 312\frac{3}{12}