CONVERTING MIXED FRACTION TO IMPROPER FRACTION WORKSHEET

Rewrite the mixed number as an improper fraction.

1)  1  2/3

2)  1  2/5

3)  2  1/4

4)  2  5/6

5)  2  7/9

6)  2  5/7

7)  3  4/7

8)  3  5/9

Solution

Problem 9 :

Ms. Panvini gave her students a test with twenty math problems. The table shows the fraction of correct answers for each of the five students who finished the test first.

converting-improper-to-mixed-fraction-q2.png

Which comparison is true?

a) 9/10 < 4/5        b) 17/20 < 9/10        c) 9/10 < 3/4      d) 17/20 < 1/2

Solution

Problem 10 :

Kendrick used 4  5/8 bags of dirt in a garden of roses and 9  1/8 bags of dirt in a garden of wildflowers. Which equation can be used to find the number of bags of dirt Kendrick used?

a)  4/8 + 5/8 + 9/8 + 1/8 = 19/8          b)  9/8 + 10/8 = 19/16

c)  20/8 + 9/8 = 3  5/8      d) 4 + 9 + 5/8 + 1/8 = 13  6/8

Solution

Problem 11 :

Which fraction belongs in the ___  to make this comparison true?

3/7 > ___

a)  1/4     b)  2/3     c)  1/2     d) 3/5

Solution

Problem 12 :

Which equation shows a decimal and a fraction that are equivalent?

a)  23.5 = 23 5/100      b) 23.55 = 23  55/100     c)  23.05 = 23  5/10

d) 23.5 = 23  50/100

Solution

Problem 13 :

The model is shaded to represent a decimal number less than one.

converting-improper-to-mixed-fraction-q3.png

Which value is represented by the shaded part of the model?

a) Two and seven-tenths       b) Twenty-seven

c)  Twenty-seven-hundredths     d) Two and seven-hundredths

Solution

Problem 14 :

The shaded parts of the model represent the combined fraction of a small pie that 2/ 9 Darrell and Nani ate. Darrell ate of the pie.

converting-improper-to-mixed-fraction-q4.png

What fraction of the pie did Nani eat?

a)  5/9     b)  3/9      c) 2/9      d) 4/9

Solution

Problem 15 :

This chart shows four comparisons.

converting-improper-to-mixed-fraction-q5.png

Which of these comparisons are true?

a) Only W      b) Only X and Z       c) Only W, Y, and Z     d) None of these

Solution

Problem 16 :

Paul threw a baseball 18.7 meters. Which fraction is equivalent to 18.7?

a)  18   7/100    b)  18/70     c)  18  7/10     d) 187/100

Solution

Answers

1)  5/3

2)  7/5

3)  9/4

4)  17/6

5)  25/9

6)  19/7

7)  25/7

8)  32/9

9) b) 17/20 < 9/10 

10)  d) 4 + 9 + 5/8 + 1/8 = 13  6/8

11)  3/7 > 1/4

12)  a)  23.5 = 23 5/100

13)  Twenty seven hundredths is the answer, option c

14)  5/9.

15)  c) Only W, Y, and Z

16)    c)  18  7/10

Rewrite the improper fraction as a mixed number.

1)  3/2

2)  5/3

3)  11/4

4)  13/5

5)  25/6

6)  28/9

7)  42/13

8)  47/15

Solution

Problem 9 :

Purnit completed a science challenge in 1 3/ 5 hours. Hailey completed the same challenge in less time than Purnit. Which of these could be the amount of time it took Hailey to complete the challenge?

a)  1 3/4 hours     b) 1 2/3 hours    c)  1 2/ 6 hours

d)  1 1/8 hours      e)  1 6/10 hours

Solution

Problem 10 :

The walking path in a park is 56/100 mile long. Which decimal represents the length of the walking path in miles?

a) 5,600      b) 0.56      c) 5.60       d) 560

Solution

Problem 11 :

Reza sorted a box of books.

  • 3/5 of the books were mysteries.
  • 1/3 of the books were science fiction.
  • The rest of the books were biographies.

How could the books in the box be described?

a)  __________ half the books in the box were mysteries.

a) Exactly       b) More than     c) Less than

b)  __________  half the books in the box were biographies.

a) Exactly       b) More than     c) Less than

Solution

Problem 12 :

A store sells bags of potato chips.

  • 1/3 of the bags are barbecue-flavored chips.
  • 3/5 of the bags are cheese-flavored chips.
  • The rest of the bags are plain chips.

Which statement is true?

a) More than 1/2 of the bags are plain chips.

b) There are no bags of plain chips.

c)  Exactly 1/2 of the bags are plain chips.

d)  Less than 1/2 of the bags are plain chips.

Solution

Problem 13 :

Four people are mowing their lawns. The table shows the fraction of each lawn that has already been mowed by each person.

improper-to-mixed-fraction-q1

Which of these people have mowed greater than 3/4 of a lawn?

a) Nate, Rudy, Marc, and Santos     b) Nate and Marc only

c)  Rudy only        d)  Santos only

Solution


Answers

1)   1  1/2

2)   1  2/3

3)  2  3/4

4)  2  3/5

5)  4  1/6

6)  3  1/9

7) 3  3/13

8)  3  2/15

9)   the answers are 1  1/8 hours and 1  2/6 hours.

10)  0.56

11)

a)  More than half the books in the box were mysteries. 

b)  Less than half the books in the box were biographies.

12) 

a) More than 1/2 of the bags are plain chips False

b) There are no bags of plain chips. False 

c)  Exactly 1/2 of the bags are plain chips False

d)  Less than 1/2 of the bags are plain chips True

13)  Rudy only, option c.

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