Question

By using distributive law, simplify 3 4 × ( 8 9 − 40)

Answer 1

Step-by-step explanation:

Question:

By using distributive law, simplify 3/4 × ( 8/9 − 40)

______________________

‏‏‎ ‎

ANSWER:

Distributive Property :

$\bf\green{a × (b + c) = a × b + a × c}$

By putting the formula, we get -:

$\bf\frac{3}{4} \times ( \frac{8}{9} -40) = \frac{3}{4} \times \frac{8}{9} - \frac{3}{4} \times 40$

$\huge\red{\boxed{LHS}}$

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

LCM = 9.

$= \bf\frac{3}{4} \times ( \frac{8 - 360}{9} )$

$= \bf\frac{3}{4} \times \frac{ - 352}{9}$

$= \bf\frac{ - 88}{3}$

______________________

‏‏‎ ‎

$\huge\red{\boxed{RHS}}$

$= \bf\frac{3}{4} \times \frac{8}{9} - \frac{3}{4} \times 40$

$= \bf\frac{2}{3} - 30$

LCM = 3.

$= \bf\frac{2 - 90}{3}$

$= \bf\frac{ - 88}{3}$

$\huge\red{\boxed{∴LHS = RHS}}$