Important Questions and Answers for Class 7 Maths Chapter 8 Working With Fractions 2025-26

1. Multiple choice questions.

1. What is the product of $\dfrac{3}{5} \times 7$ expressed as a mixed fraction?

• (a) $3\dfrac{2}{5}$
• (b) $4\dfrac{1}{5}$
• (c) $2\dfrac{1}{5}$
• (d) $4\dfrac{2}{5}$

Answer: (b) $4\dfrac{1}{5}$

2. The reciprocal of $\dfrac{2}{3}$ is

• (a) $\dfrac{2}{3}$
• (b) $\dfrac{3}{2}$
• (c) $\dfrac{1}{3}$
• (d) $\dfrac{1}{2}$

Answer: (b) $\dfrac{3}{2}$

3. What is $\dfrac{1}{4} \div \dfrac{1}{2}$?

• (a) $\dfrac{1}{2}$
• (b) $\dfrac{1}{6}$
• (c) $\dfrac{2}{4}$
• (d) $\dfrac{1}{8}$

Answer: (a) $\dfrac{1}{2}$

4. The product of two fractions is always

• (a) Greater than both numbers
• (b) Less than both numbers if both are between 0 and 1
• (c) Equal to 1
• (d) Greater than one of the numbers

Answer: (b) Less than both numbers if both are between 0 and 1

2. Very Short Answer (VSA).

1. What is the formula for multiplying two fractions?

Answer: When two fractions are multiplied, we multiply their numerators and denominators: $\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}$.

2. Define the reciprocal of a fraction.

Answer: The reciprocal of a fraction $\dfrac{a}{b}$ is $\dfrac{b}{a}$; multiplying a number by its reciprocal gives 1.

3. Express $3\dfrac{3}{4}$ as an improper fraction.

Answer: $3\dfrac{3}{4} = \dfrac{15}{4}$

4. What happens to the product when a number is multiplied by a fraction less than 1?

Answer: The product becomes less than the original number.

5. If a fraction is multiplied by its reciprocal, what will be the result?

Answer: The result is always 1.

3. Short Answer Questions.

1. Find the area of a rectangle with sides $3\dfrac{3}{4}$ ft and $9\dfrac{3}{5}$ ft. Give your answer as an improper fraction.

Answer: Convert mixed numbers to improper fractions:

• $3\dfrac{3}{4} = \dfrac{15}{4}$
• $9\dfrac{3}{5} = \dfrac{48}{5}$

1. Multiply: $\dfrac{15}{4} \times \dfrac{48}{5} = \dfrac{15 \times 48}{4 \times 5} = \dfrac{720}{20} = 36$

Area is 36 square feet.

2. How much oil does each family get weekly if 5 litres of oil is shared equally among 3 families?

Answer:

1. Each family's share: $5 \div 3 = \dfrac{5}{3}$ litres.

Each family gets $\dfrac{5}{3}$ litres of oil per week.

3. If a tap fills $\dfrac{7}{10}$ of a tank in 1 hour, what fraction is filled in $\dfrac{2}{3}$ hour?

Answer:

1. Fraction filled: $\dfrac{2}{3} \times \dfrac{7}{10} = \dfrac{14}{30} = \dfrac{7}{15}$

So, $\dfrac{7}{15}$ of the tank will be filled in $\dfrac{2}{3}$ hour.

4. Maria used $\dfrac{1}{4}$ m of lace for each bag and finished 8 m. How many bags did she decorate?

Answer:

1. Number of bags $= 8 \div \dfrac{1}{4} = 8 \times 4 = 32$

Maria decorated 32 bags.

5. Evaluate: $1 \div \dfrac{2}{3}$ and $3 \div \dfrac{2}{3}$.

Answer:

1. $1 \div \dfrac{2}{3} = 1 \times \dfrac{3}{2} = \dfrac{3}{2}$
2. $3 \div \dfrac{2}{3} = 3 \times \dfrac{3}{2} = \dfrac{9}{2}$

4. True or False Questions.

1. The product of two proper fractions is always less than each of the fractions.

Answer: True

2. The reciprocal of $\dfrac{7}{10}$ is $\dfrac{10}{7}$.

Answer: True

3. The quotient is always less than the dividend in any division of fractions.

Answer: False

4. Multiplication of fractions is commutative.

Answer: True

3. Fill in the Blanks Questions.

1. When $\dfrac{3}{5}$ is multiplied by 0, the result is _________.

Answer: 0

2. If a water tank fills $\dfrac{7}{10}$ in 1 hour, then in $\dfrac{1}{3}$ hour it fills _________ of the tank.

Answer: $\dfrac{7}{30}$

3. The reciprocal of a whole number 8 is _________.

Answer: $\dfrac{1}{8}$

4. The product of $\dfrac{1}{4}$ and $\dfrac{1}{2}$ is _________.

Answer: $\dfrac{1}{8}$

5. If a number is multiplied by its reciprocal, the answer is ________.

Answer: 1

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