Question

Verify the following:- 2/3 × {-4/5 + -3/7} = 2/3 × -4/5 + 2/3 × -3/7
Class 8​

Answer 1

Answer:

Solution in image with full explain

Answer 2

Step-by-step explanation:

$\bf{Q)\;Verify\;the\;following:}\\\\\sf{\circ\;\dfrac{2}{3}\times\left\{\dfrac{-4}{5}+\dfrac{-3}{7}\right\}=\dfrac{2}{3}\times\dfrac{-4}{5}+\dfrac{2}{3}\times\dfrac{-3}{7}}$

Solving LHS:

$\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-4}{5}+\dfrac{-3}{7}\right\}}$

Solving bracket first,

$\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-28+(-15)}{35}\right\}}$

$\sf{\longmapsto\dfrac{2}{3}\times\left\{\dfrac{-28-15}{35}\right\}}$

$\sf{\longmapsto\dfrac{2}{3}\times\dfrac{-43}{35}}$

Multiplying,

$\sf{\longmapsto\dfrac{-86}{105}}$

Solving RHS:

$\sf{\longmapsto\dfrac{2}{3}\times\dfrac{-4}{5}+\dfrac{2}{3}\times\dfrac{-3}{7}}$

Using BODMAS, first multiplying,

$\sf{\longmapsto\dfrac{-8}{15}+\dfrac{-2}{7}}$

Now adding,

$\sf{\longmapsto\dfrac{-56+(-30)}{105}}$

$\sf{\longmapsto\dfrac{-86}{105}}$

As,

• -86/105 = -86/105

Therefore,

• LHS = RHS

Hence, Verified.