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Worksheet: Dividing Fractions

Q1:

A bottle can hold liters of oil. How many bottles are needed to store 12 liters of oil?

Q2:

How many tenths are there in a fifth?

  • Athree
  • Bone
  • Cfour
  • Dtwo

Q3:

When 3 4 is divided by a fraction 𝑎 𝑏 , the result is 5 8 . Determine 𝑎 𝑏 .

  • A 1 5 3 2
  • B 1 1 8
  • C 1 8
  • D 6 5
  • E 5 6

Q4:

Milos bought 4 bottles of soda for a family gathering. After the gathering had been going for 1 hour, the cola bottle was 1 6 full, the lemon-lime bottle was 1 2 full, the cream soda bottle was full, and the cherry soda bottle was 1 3 full. If the soda was served in cups and each cup was 1 6 of a bottle, how many more cups can be poured?

Q5:

Jacob practices his trumpet for 20 minutes per day. His trumpet teacher said it is only two-thirds of the daily practice required at his level. How long should he practice every day?

  • A 40 minutes
  • B 1 3 1 3 minutes
  • C 6 2 3 minutes
  • D 30 minutes
  • E 60 minutes

Q6:

Oscar has written 12 pages for his assignment. It is three-quarters of what is required. The diagram below can be used to find how many pages Oscar is required to write for his assignment.

Using the diagram, find what operation performed on 12 gives the number of pages required.

  • A 1 2 3 ÷ 4
  • B 1 2 4 × 3
  • C 1 2 3 × 3
  • D 1 2 3 × 4
  • E 1 2 4 × 4

The 12 pages are 3 4 of the number of pages required, which can be written as 1 2 = 3 4 × number of pages. What division gives this number of pages?

  • A 1 2 ÷ 3 4
  • B 1 2 ÷ 4 3
  • C 1 2 ÷ 4
  • D 1 2 ÷ 3
  • E 1 2 ÷ 3 4

Combine the previous answers to show the equivalent operation to 1 2 ÷ 3 4 .

  • A 1 2 ÷ 4 3 = 1 2 × 4 3
  • B 1 2 ÷ 3 4 = 1 2 × 3 4
  • C 1 2 ÷ 3 4 = 1 2 × 4 3
  • D 1 2 ÷ 4 3 = 1 2 × 3 4
  • E 1 2 ÷ 3 4 = 1 2 × 1 4

Q7:

Madison has taken four-fifths of her cows, or 16 cows, to the next field. How many cows does she have in total?

Q8:

Noah’s phone screen has an area of 48 cm2, which is four-thirds of the area of Jacob’s phone screen. What is the area of Jacob’s phone screen?

Q9:

Emma picked 9 1 3 pounds of cherries from her tree this year. If she only picked 6 4 9 pounds of cherries last year, how many times more cherries did she pick this year compared to last year?

  • A 3 4
  • B 2 9 4 2
  • C 1 1 2
  • D 1 1 3 2 9
  • E 2 8 9

Q10:

One-eighth of a pot of paint will paint one square meter. What area can be painted with three-quarters of a pot?

Q11:

Calculate 2 3 2 4 ÷ 5 6 4 5 . Give your answer in its simplest form.

  • A 1 7 3 4 7 5
  • B 1 7 2 0
  • C 4 5 6 5 7 1
  • D 7 2 0

Q12:

You can find the result of 1 3 8 ÷ 3 4 by renaming 3 4 as a fraction with 8 as the denominator. Which of the following represents this?

  • A 1 3 8 ÷ 3 4 = 1 3 8 ÷ 7 8 = 1 3 7
  • B 1 3 8 ÷ 3 4 = 1 3 8 ÷ 3 8 = 1 3 3
  • C 1 3 8 ÷ 3 4 = 1 3 8 ÷ 6 8 = 6 1 3
  • D 1 3 8 ÷ 3 4 = 1 3 8 ÷ 6 8 = 1 3 6
  • E 1 3 8 ÷ 3 4 = 1 3 8 ÷ 3 8 = 3 1 3

The diagram can also be used to solve 1 3 8 ÷ 3 4 . We find that two times 3 4 fit into 1 3 8 , and then we need to find what fraction 1 8 is of 3 4 . Give the result to 1 3 8 ÷ 3 4 as a mixed number.

  • A 2 1 6
  • B 6 1 3
  • C 1 6 7
  • D 4 1 3
  • E 3 1 3

Q13:

Amelia wants to make pancakes with a half liter of milk. Knowing that one-eighth of a liter of milk makes pancakes for one person, for how many people will his pancakes be?

Q14:

Find 6 7 ÷ 3 7 .

Q15:

Hannah has 7 9 of a pizza which she divides into two equally sized slices. What fraction of the original pizza is each slice?

  • A 7 3 6
  • B 7 2 7
  • C 7 4 5
  • D 7 1 8
  • E 7 5 4

Q16:

What is 3 8 divided by 6?

  • A16
  • B 9 4
  • C 4 9
  • D 1 1 6
  • E 5 1 8

Q17:

Use the diagram to find 4 7 ÷ 2 5 (i.e., the number that 4 7 is 2 5 of).

  • A 7 1 0
  • B 8 3 5
  • C 4 3 8
  • D 1 3 7
  • E 3 4 3 5

Q18:

Find 1 2 ÷ 2 3 .

  • A 4 3
  • B 1 3
  • C3
  • D 3 4
  • E 3 2

Q19:

Which of the following division expressions has a quotient of 2 3 ?

  • A 1 4 ÷ 1 7
  • B 2 9 ÷ 6 7
  • C 2 3 ÷ 4 7
  • D 4 9 ÷ 2 3
  • E 3 4 ÷ 1 6

Q20:

Which of the following division expressions has a quotient of 1 2 ?

  • A 7 8 ÷ 1 9
  • B 2 3 ÷ 1 6
  • C 1 2 ÷ 5 7
  • D 3 8 ÷ 3 4
  • E 5 6 ÷ 4 7

Q21:

Find 3 7 ÷ 5 6 .

  • A 3 5 1 8
  • B 5 1 4
  • C 1 4 5
  • D 1 8 3 5
  • E 8 1 3

Q22:

A farmer wants to try a new type of seed. He has bought enough seeds for a field of area 1 1 0 square miles. He wants to plant them in a field of width 1 4 miles. What length of the field will be dedicated to this new seed type?

  • A 1 4 0 miles
  • B 2 1 2 miles
  • C 1 5 miles
  • D 2 5 miles
  • E 1 1 4 miles

Q23:

Find 5 9 ÷ 2 9 .

  • A 2 5
  • B 1 0 8 1
  • C 8 1 1 0
  • D 2 1 2
  • E 7 9

Q24:

A ribbon of length 7 1 0 m is cut into two equal parts as shown in the diagram.

Which of the following number sentences is NOT true?

  • A 7 1 0 ÷ 2 = 1 4 ÷ 2 2 0
  • B 7 1 0 ÷ 2 = 1 2 × 7 1 0
  • C 7 1 0 ÷ 2 = 7 1 0 × 2
  • D 7 1 0 ÷ 2 = 7 1 0 ÷ 2
  • E 7 1 0 ÷ 2 = 2 ÷ 7 1 0

Q25:

Use the diagram to find 4 5 ÷ 1 5 (i.e.,how many 1 5 are in 4 5 ).