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 9 and 12 is 36

= (-4 × 4 - 5 × 3)/ 36 + 7/18

By further calculation

= (-16 - 15)/36 + 7/18

= -31/36 + 7/18

= (-31 + 7 × 2)/ 36

= (-31 + 14)/36

= - 17/36

Therefore, (x - y) + z is - 17/36.

✦ Try This: Find a rational number exactly halfway between: 1/11 and 1/9

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

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

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 - 17/36

☛ 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)