Maths Class 6 Important Questions Chapter 7 Ganita Prakash

Fractions

Short Answer Question

1. What is a fraction?

Answer: A fraction represents a part of a whole when it is divided into equal parts.

2. What is a fractional unit?

Answer: When one whole is divided into equal parts, each part is called a fractional unit (e.g., 1/2, 1/3).

3. Which is greater: 1/2 or 1/4?

Answer: 1/2 is greater than 1/4 because fewer equal parts mean a larger share.

4. What do numerator and denominator represent?

Answer: The numerator shows the number of parts taken, and the denominator shows total equal parts.

5. Write 3/2 as a mixed fraction.

Answer: 3/2 = 1 1/2

6. What is an equivalent fraction?

Answer: Fractions that represent the same value are called equivalent fractions (e.g., 1/2 = 2/4).

7. Write one equivalent fraction of 1/3.

Answer: 2/6

8. Which is larger: 1/5 or 1/9?

Answer: 1/5 is larger because dividing into fewer parts gives a bigger share.

9. What is the simplest form of 16/20?

Answer: 4/5

10. What is 2/5 + 1/5?

Answer: 3/5

Long Answer Questions

1. Three guavas weigh 1 kg. What is the weight of one guava?

Solution (step-by-step):

• Total weight = 1 kg
• Number of guavas = 3
• Each guava = 1 ÷ 3
• So, weight of each guava = 1/3 kg

2. Add 1/4 and 1/3 using proper method.

Solution (step-by-step):

• Find common denominator: LCM of 4 and 3 = 12
• Convert fractions:
  1/4 = 3/12
  1/3 = 4/12
• Add:
  3/12 + 4/12 = 7/12

Final Answer: 7/12

3. Subtract 2/3 from 3/4.

Solution (step-by-step):

• LCM of 4 and 3 = 12
• Convert fractions:
  3/4 = 9/12
  2/3 = 8/12
• Subtract:
  9/12 – 8/12 = 1/12

Final Answer: 1/12

4. Convert 7/2 into a mixed fraction and explain.

Solution (step-by-step):

• Divide 7 by 2
• Quotient = 3, Remainder = 1
• So,
  7/2 = 3 1/2

Final Answer: 3 1/2

5. Compare 3/4 and 7/10.

Solution (step-by-step):

• LCM of 4 and 10 = 20
• Convert fractions:
  3/4 = 15/20
  7/10 = 14/20
• Compare:
  15/20 > 14/20

Final Answer: 3/4 is greater than 7/10