MATHEMATICS - DIVIDING FRACTIONS

Dividing Fractions Worksheet

10 questions
Estimate, multiply and divide proper fractions.
Difficulty: Medium
Board: CAIE
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Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.
How many groups of size $\frac{1}{8}$ are contained in $\frac{3}{4}$ ?

A) $5$ groups
B) $6$ groups
C) $4$ groups
D) $8$ groups

Q2.
Which is the value of $\frac{5}{6}\div\frac{2}{3}$ ?

A) $\frac{4}{5}$
B) $\frac{10}{9}$
C) $\frac{5}{9}$
D) $\frac{5}{4}$

Q3.
Estimate $\frac{7}{8}\div\frac{3}{10}$ to the nearest whole number.

A) $4$
B) $3$
C) $2$
D) $1$

Q4.
A student writes $\frac{2}{5}\div\frac{3}{4}=\frac{6}{20}$ . Which statement correctly explains the error?

A) The student should add the denominators to obtain $\frac{2}{9}$ .
B) The student should subtract the fractions to obtain $-\frac{7}{20}$ .
C) The student should invert both fractions; the answer is $\frac{5}{2}\times\frac{4}{3}$ .
D) The student multiplied the fractions instead of multiplying by the reciprocal; the answer is $\frac{8}{15}$ .

Q5.
A jug contains $\frac{5}{6}\text{ L}$ of juice. Each cup holds $\frac{1}{12}\text{ L}$ . How many cups can be filled?

A) $8$ cups
B) $10$ cups
C) $7$ cups
D) $12$ cups

Q6.
Which division has the greatest quotient?

A) $\frac{5}{6}\div\frac{1}{2}$
B) $\frac{3}{4}\div\frac{1}{3}$
C) $\frac{2}{3}\div\frac{1}{6}$
D) $\frac{4}{5}\div\frac{2}{5}$

Q7.
Which proper fraction belongs in the box? $\frac{3}{5}\div\square=\frac{9}{10}$

A) $\frac{3}{4}$
B) $\frac{1}{3}$
C) $\frac{5}{6}$
D) $\frac{2}{3}$

Q8.
Which division has a quotient less than $1$ ?

A) $\frac{5}{8}\div\frac{1}{4}$
B) $\frac{2}{7}\div\frac{3}{7}$
C) $\frac{3}{4}\div\frac{1}{2}$
D) $\frac{4}{9}\div\frac{2}{9}$

Q9.
The fraction bars in the figure represent a division. How many groups the size of the lower bar fit into the shaded part of the upper bar?

Diagram for question 9: The fraction bars in the figure represent a division. How many groups the size of the lower bar fit into the…

A) $3$
B) $4$
C) $\frac{5}{2}$
D) $\frac{7}{2}$

Q10.
The marked endpoint and step length are shown on the number line. What quotient is represented by finding how many step lengths fit from zero to the endpoint?

Diagram for question 10: The marked endpoint and step length are shown on the number line. What quotient is represented by finding…

A) $\frac{10}{3}$
B) $\frac{15}{2}$
C) $6$
D) $\frac{5}{54}$

What this assessment covers

Concepts Tested

dividing fractions
Estimate, multiply and divide proper fractions.

Question Mix

Medium questions included

Skills you build

Understand

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Assessment details

Total questions:: 10
Subject:: Mathematics
Topic:: Dividing Fractions
Difficulty:: Medium
Grade:: Grade 6
Board:: CAIE
Marks:: 10.00

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Q1. How many groups of size 1/8 are contained in 3/4?

Q2. Which is the value of 5/6 ÷ 2/3?

Q3. Estimate 7/8 ÷ 3/10 to the nearest whole number.

Q4. A student writes 2/5 ÷ 3/4 = 6/20. Which statement correctly explains the error?

Q5. A jug contains 5/6 L of juice. Each cup holds 1/12 L. How many cups can be filled?

Q6. Which division has the greatest quotient?

Q7. Which proper fraction belongs in the box? 3/5 ÷ square = 9/10

Q8. Which division has a quotient less than 1?

Q9. The fraction bars in the figure represent a division. How many groups the size of the lower bar fit into the shaded part of the upper bar?

Q10. The marked endpoint and step length are shown on the number line. What quotient is represented by finding how many step lengths fit from zero to the endpoint?