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**Question 1: ****Multiply the reciprocal of (7/8) by the reciprocal of (-2/21)****Solution:** Given two rational numbers 7/8 and -2/21

We know,

Reciprocal of (-2/21) is (-21/2)

Reciprocal of (7/8) is (8/7)

**Question 2:** **The product of two rational numbers is (-28/75). If one of the numbers is (14/25), find the other.****Solution:**

Product of two numbers = -28/75

Any one of the rational numbers = 14/25

Let the other number be R

∴ R х 14/25 = -28/75

∴ The other number

Thus, the required rational number is (-2/3)

**Question 3:** **Find three rational numbers between –3 and –4.****Solution: **By formula method,

a = -3 and b = -4

Therefore, the rational number b/w -3 and -4 is

A rational number between (–3) and (-7/2)

A rational number between (-7/2) and (-4)

Thus, the three rational numbers between (–3) and (–4) are -7/2, -13/4, -15/4.

**Question 4: ****Find three rational numbers between (1/2) and (–2)****Solution:** By formula method,

a = 1/2 and b = -2

A rational number between (1/2) and (–2)

A rational number between 1/2 and (-3/4)

A rational number between (-3/4) and (–2)

Thus, the three rational numbers between 1/2 and -2 are -3/4, -1/8, -11/8.

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