# Multiply 6/13 by the reciprocal of -7/16

**Solution:**

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

The reciprocal of -7/16 is -16/7

We will use the multiplication operation of rational numbers to solve the given question.

So, we calculate the product of the expression as follows:

6/13 × (-16/7) = [6 × (-16)] / (13 × 7) = -96/91

Thus, the product of 6/13 and reciprocal of -7/16 is -96/91

**ā Check: **NCERT Solutions for Class 8 Maths Chapter 1

**Video Solution:**

## Multiply 6/13 by the reciprocal of -7/16

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.1 Question 6

**Summary:**

Thus, the product of 6/13 and reciprocal of -7/16 is -96/91.

**ā Related Questions:**

- Tell what property allows you to compute 1/3 × (6 × 4/5) as (1/3 × 6) × 4/3? The Associative property tells us that we can add/multiply the numbers in an equation irrespective of the grouping of those numbers.
- Is 8/9 the multiplicative inverse of -1 (1/8)? Why or why not?
- Is 0.3 the multiplicative inverse of 3 (1/3)? Why or why not?
- Write. (i) The rational number that does not have a reciprocal. (ii) The rational numbers that are equal to their reciprocals. (iii) The rational number that is equal to its negative.

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