# Use the Distributivity of Multiplication of Rational Numbers Over Their Addition to Simplify: 3 4 × ( 8 9 − 40 ) - Mathematics

Sum

Use the distributivity of multiplication of rational numbers over their addition to simplify:

$\frac{3}{4} \times \left( \frac{8}{9} - 40 \right)$

#### Solution

$\frac{3}{4} \times (\frac{8}{9} - 40) = \frac{3}{4} \times \frac{8}{9} - \frac{3}{4} \times 40 = \frac{2}{3} - 30 = \frac{2 - 90}{3} = \frac{- 88}{3}$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.6 | Q 4.4 | Page 32