# (a) (i) Provide the number in the box _, such that 2/3 × _ = 10/30

(ii) The simplest form of the number obtained in _ is _

(b) (i) Provide the number in the box, such that 3/5 × _ = 24/75

(ii) The simplest form of the number obtained in the _ is _

**Solution:**

(a) The number in the box can be filled by any number so that the resulting number is 10/30.

(i) 2/3 × _ = 10/30

2/3 × 5/10 = 10/30

Therefore, 5/10 is the number in the box, such that 2/3 × 5/10 = 10/30.

(ii) The simplest form of 5/10 is 1/2.

(b) The number in the box can be filled by any number so that the resulting number is 24/75.

(i) 3/5 × _ = 24/75

2/3 × 8/15 = 24/75

Therefore, 8/15 is the number in the box, such that 3/5 × 8/15 = 24/75.

(ii) As 8/15 can't be simplified further since its GCF is 1.

Therefore its simplest form is 8/15 itself.

**Video Solution:**

## (a) (i) Provide the number in the box _, such that 2/3 × _ = 10/30. (ii) The simplest form of the number obtained in _ is _. (b) (i) Provide the number in the box, such that 3/5 × _ = 24/75. (ii) The simplest form of the number obtained in the _ is _

### NCERT Solutions Class 7 Maths - Chapter 2 Exercise 2.3 Question 8:

(a) (i) Provide the number in the box _, such that 2/3 × _ = 10/30. (ii) The simplest form of the number obtained in _ is _. (b) (i) Provide the number in the box, such that 3/5 × _ = 24/75. (ii) The simplest form of the number obtained in the _ is _

(a) (i) Therefore, 5/10 is the number in the box, such that 2/3 × 5/10 = 10/30. (ii) The simplest form of 5/10 is 1/2. (b) (i) Therefore, 8/15 is the number in the box, such that 3/5 × 8/15 = 24/75. (ii) As 8/15 can't be simplified further since its GCF is 1. Therefore its simplest form is 8/15 itself