The reciprocal of (2/5) × (-4/9) is ___________

Solution:

Given expression (2/5) × (-4/9)

First, we need to simplify the expression by operating multiplication

= (2 × -4)/5 × 9

= -8/45

The reciprocal of -8/45 is obtained by interchanging numerator and denominator

Hence, it is -45/8

✦ Try This: The reciprocal of 2/5 × 1/4 is___.

By multiplying, we get (2 × 1)/(5 × 4)

2/20 = 1/10

The reciprocal is 10.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 34

The reciprocal of (2/5) × (-4/9) is ___________

Summary:

The reciprocal of (2/5) × (-4/9) is -45/8

☛ Related Questions:

• (213 × 657)-1 = 213-1 × ___________
• The negative of 1 is ___________
• For rational numbers a/b, c/d and e/f we have (a/b) × (c/d + e/f) = __________ + __________