Question
Class 7MathematicsRational Numbers

Simplify: (3/7×(-5)/8)÷(1/3×5/6)+|(-1)/2-1/5|

Verified Answer

We have

Expression: (3/7 × -5/8) ÷ (1/3 × 5/6) + | -1/2 - 1/5 |

= (-3 × 5)/(7 × 8) ÷ (1 × 5)/(3 × 6) + |-5 - 2|/10

= (-15/56) ÷ (5/18) + |-7/10|

= (-15/56) × (18/5) + 7/10

[∴ absolute value of -a = a]

= (-27/28) + (7/10)

= (-27 × 5 + 7 × 14)/140 [LCM of 28 and 10 = 140]

= (-135 + 98)/140 = -37/140

Hence, the required value = -37/140.