Taking x = -4/9, y = 5/12 and z = 7/18, find: x ÷ (y ÷ z)

Solution:

It is given that

x = -4/9, y = 5/12 and z = 7/18

We know that

x ÷ (y ÷ z) = -4/9 ÷ (5/12 ÷ 7/18)

Reciprocal of 7/18 is 18/7

= -4/9 ÷ (5/12 × 18/7)

= -4/9 ÷ (15/14)

Reciprocal of 15/14 is 14/15

= -4/9 × 14/15

= -56/135

Therefore, x ÷ (y ÷ z) is -56/135.

✦ Try This: Find a rational number exactly halfway between: 5/-13 and -9/11

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 94(j)

Taking x = -4/9, y = 5/12 and z = 7/18, find: x ÷ (y ÷ z)

Summary:

Taking x = -4/9, y = 5/12 and z = 7/18, x ÷ (y ÷ z) is -56/135

☛ Related Questions:

• Taking x = -4/9, y = 5/12 and z = 7/18, find: (x - y) + z
• Taking x = -4/9, y = 5/12 and z = 7/18, find: x + (y + z)
• Taking x = -4/9, y = 5/12 and z = 7/18, find: x - (y + z)