Question

Verify the following: (35 ×12/13)×78=35(12/13×78)

Answer 1

$\boxed{(35 \times \frac{12}{13} \bigg) \times 78 = 35 \bigg( \frac{12}{13} \times 78)}$

Solving LHS,

$\bigg( \frac{35 \times 12}{ \cancel{13}} \bigg) \times \cancel{78 }\\ \\ = > 35 \times 12 \times 6 \\ = > 35 \times 72 \\ = > 2520$

Solving RHS,

$35 \bigg( \frac{12}{ \cancel{13}} \times \cancel{78} \bigg) \\ \\ = > 35 \times 12 \times 6 \\ = > 35 \times 72 \\ = > 2520$

Hence,

$\huge \mathbf{LHS = RHS}$