Important Questions Maths Chapter 8 Class 7 Ganit Prakash

Imp Questions For All Chapters – Ganit Prakash Class 7th

Working with Fractions

1. What is the result of multiplying a whole number with a fraction?

Ans: Multiply the whole number with the numerator of the fraction and divide the product by the denominator.

Example: 5× \(\frac{2}{3}\) = \(\frac{10}{3}\)

2. What is the result of multiplying two fractions?

Ans: Multiply the numerators together and the denominators together.​

Example: \(\frac{3}{4}\) × \(\frac{2}{5}\) = \(\frac{6}{20}\) = \(\frac{3}{20}\) 

3. What is the reciprocal of a fraction \(\frac{a}{b}\)?

Ans: The reciprocal of \(\frac{a}{b}\)​ is \(\frac{b}{a}\)

4. How is division of fractions done?

Ans: Multiply the first fraction (dividend) by the reciprocal of the second (divisor).

Example:​ \(\frac{2}{3}\) ​÷ ​​​\(\frac{3}{5}\) = ​​​\(\frac{2}{3}\) × ​​​\(\frac{5}{3}\) = ​​​\(\frac{10}{9}\)

5. If a tortoise walks \(\frac{1}{4}\) km in 1 hour, how much does it walk in 3 hours?

Ans: 3 × ​​​\(\frac{1}{4}\) = ​​​\(\frac{3}{4}\) km.

6. Multiply ​​​\(\frac{2}{5}\) ×3

Ans: ​​​\(\frac{2}{5}\) ×3 = \(\frac{6}{5}\)

7. Multiply ​​​\(\frac{3}{4}\) × ​​​\(\frac{2}{5}\)

Ans: ​​​\(\frac{6}{20}\) = \(\frac{3}{10}\)

8. What is \(\frac{5}{12}\) × ​​​\(\frac{7}{18}\)?

Ans: \(\frac{35}{216}\)

9. Simplify ​​​\(\frac{12}{7}\) × ​​​\(\frac{5}{24}\)

Ans: \(\frac{60}{168}\) = \(\frac{5}{14}\)

10. Divide \(\frac{1}{5}\) ÷ \(\frac{1}{2}\)

Ans: \(\frac{1}{5}\) × ​​​\(\frac{2}{1}\) = ​​​\(\frac{2}{5}\)

11. Divide \(\frac{2}{3}\) ÷ \(\frac{3}{5}\)

Ans: \(\frac{2}{3}\) × ​​​\(\frac{5}{3}\) = \(\frac{10}{9}\)

12. What is the area of a rectangle with sides \(\frac{1}{2}\) unit and \(\frac{1}{4}\) unit?$\frac{\mathrm{}}{}$

Ans: \(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\) square units

13. Multiply \(\frac{5}{4}\) × \(\frac{3}{2}\)

Ans: \(\frac{15}{8}\)

14. What is the relation between multiplication and area of a rectangle with fractional sides?

Ans: Area = length × breadth

Example: \(\frac{1}{2}\) × \(\frac{1}{4}\) = \(\frac{1}{8}\)

15. What happens when two fractions less than 1 are multiplied?

Ans: The product is less than both the numbers.

Example: \(\frac{3}{4}\) × \(\frac{2}{5}\) = \(\frac{3}{10}\)