Question 12 of 25intermediate🔧 ApplyShort Answer3 marks

Shade a portion of the dhokla to represent the fraction Sumedha would get when the dhokla is shared equally among the given number of people. Discuss why the fractions get smaller.

2 people
Sumedha’s share = 12\frac{1}{2}
Half

3 people
Sumedha’s share = 13\frac{1}{3}
One-third

4 people
Sumedha’s share = ___

5 people
Sumedha’s share = ___

8 people
Sumedha’s share = ___

9 people
Sumedha’s share = ___

Correct Answer

For 2 people: Shade 12\frac{1}{2} (half the circle).

For 3 people: Shade 13\frac{1}{3}.

For 4 people: Shade 14\frac{1}{4}.

For 5 people: Shade 15\frac{1}{5}.

For 8 people: Shade 18\frac{1}{8}.

For 9 people: Shade 19\frac{1}{9}.

Why fractions get smaller: As the number of people increases, the same whole is being divided into more parts. More parts means each part is smaller.

Exercise: Let Us Do | Q: 2 | (Page Page 8)
For More Understanding

Explanation

The chapter uses this shading activity to help students visualize fractions. As the denominator increases (2, 3, 4, 5, 8, 9), the shaded portion becomes smaller. This demonstrates the inverse relationship: larger denominator = smaller fraction (when numerator is 1).

Solution Steps

  1. For 2 people, shade 1/2 (half the circle).

  2. For 3 people, shade 1/3.

  3. For 4 people, shade 1/4.

  4. For 5 people, shade 1/5.

  5. For 8 people, shade 1/8.

  6. For 9 people, shade 1/9.

  7. Fractions get smaller as the number of people increases because the same whole is divided into more parts.

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