MATHEMATICS - SUBTRACTING FRACTIONS

Subtracting Fractions Worksheet

10 questions
Estimate, add and subtract proper and improper fractions, and mixed numbers, using the order of operations.
Difficulty: Medium
Board: CAIE
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Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.
Calculate $\frac{7}{8}-\frac{5}{12}$ .

A) $\frac{11}{24}$
B) $\frac{13}{24}$
C) $\frac{1}{3}$
D) $\frac{2}{5}$

Q2.
Find the value of $4\frac{1}{6}-2\frac{3}{4}$ .

A) $1\frac{5}{12}$
B) $1\frac{11}{12}$
C) $2\frac{5}{12}$
D) $1\frac{7}{12}$

Q3.
Subtract $\frac{7}{9}$ from $\frac{11}{6}$ .

A) $1\frac{2}{9}$
B) $2\frac{4}{9}$
C) $\frac{4}{15}$
D) $1\frac{1}{18}$

Q4.
Evaluate $\frac{5}{6}-\left(\frac{1}{4}+\frac{1}{3}\right)$ using the correct order of operations.

A) $\frac{7}{12}$
B) $\frac{1}{4}$
C) $\frac{2}{3}$
D) $\frac{11}{12}$

Q5.
Evaluate $2\frac{1}{2}-\frac{3}{4}+\frac{1}{8}$ .

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

Q6.
Estimate $6\frac{7}{8}-2\frac{1}{12}$ by rounding each mixed number to the nearest whole number.

A) about $5$
B) about $3$
C) about $6$
D) about $4$

Q7.
Which option correctly rewrites $3\frac{2}{5}-1\frac{5}{6}$ as a subtraction of improper fractions?

A) $\frac{17}{5}-\frac{15}{6}$
B) $\frac{12}{5}-\frac{6}{6}$
C) $\frac{3}{5}-\frac{1}{6}$
D) $\frac{17}{5}-\frac{11}{6}$

Q8.
A roll contains $5\frac{3}{8}\,\text{m}$ of ribbon. A student uses $1\frac{5}{6}\,\text{m}$ for one project and $\frac{3}{4}\,\text{m}$ for another. How much ribbon remains?

A) $2\frac{19}{24}\,\text{m}$
B) $3\frac{1}{24}\,\text{m}$
C) $3\frac{19}{24}\,\text{m}$
D) $2\frac{7}{8}\,\text{m}$

Q9.
The two fraction bars represent parts of the same-sized whole. How much greater is the shaded part of the top bar than the shaded part of the bottom bar?

Diagram for question 9: The two fraction bars represent parts of the same-sized whole. How much greater is the shaded part of the…

A) $\frac{11}{24}$
B) $\frac{5}{8}$
C) $\frac{13}{24}$
D) $\frac{3}{5}$

Q10.
The arrow in the figure represents a subtraction on a number line. What value belongs at the point marked with a question mark?

Diagram for question 10: The arrow in the figure represents a subtraction on a number line. What value belongs at the point marked…

A) $2\frac{13}{20}$
B) $2\frac{7}{20}$
C) $1\frac{7}{20}$
D) $2\frac{3}{5}$

What this assessment covers

Concepts Tested

subtracting fractions
Estimate, add and subtract proper and improper fractions, and mixed numbers, using the order of operations.

Question Mix

Medium questions included

Skills you build

Understand

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Assessment details

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

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Q1. Calculate 7/8 − 5/12.

Q2. Find the value of 41/6 − 23/4.

Q3. Subtract 7/9 from 11/6.

Q4. Evaluate 5/6 − (1/4 + 1/3 ) using the correct order of operations.

Q5. Evaluate 21/2 − 3/4 + 1/8.

Q6. Estimate 67/8 − 21/12 by rounding each mixed number to the nearest whole number.

Q7. Which option correctly rewrites 32/5 − 15/6 as a subtraction of improper fractions?

Q8. A roll contains 53/8 m of ribbon. A student uses 15/6 m for one project and 3/4 m for another. How much ribbon remains?

Q9. The two fraction bars represent parts of the same-sized whole. How much greater is the shaded part of the top bar than the shaded part of the bottom bar?

Q10. The arrow in the figure represents a subtraction on a number line. What value belongs at the point marked with a question mark?