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)

LCM of 12 and 18 is 36

= -4/9 - (5 × 3 + 7 × 2)/36

= -4/9 - (15 + 14)/36

= -4/9 - 29/36

By further calculation

= (-4 × 4 - 29)/36

= (-16 - 29)/36

= -45/36

= -5/4

Therefore, x - (y + z) is -5/4.

✦ Try This: Find a rational number exactly halfway between: 3/-7 and -5/9

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

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

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 -5/4

☛ 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)