Question

prove that -2/ 3 * [ 4/5 + -8/ 15 )= (- 2/ 3 * 4/5 )+ ( -2 /3 * -8/15 )​

Answer 1

Answer:

$\frac{ - 2}{3} \times ( \frac{4}{5} + \frac{ - 8}{15} ) = ( \frac{ - 2}{3} \times \frac{4}{5} ) + ( \frac{ - 2}{3} \times \frac{ - 8}{15} )$

$\frac{ - 2}{3} \times (lcm \: is \: 15) = ( \frac{ - 8}{15} ) + ( \frac{16}{45} )$

$\frac{ - 2}{3} \times ( \frac{12 - 8}{15} ) = (lcm \: of \:15 \: and \: 45 \: is \: 45)$

$\frac{ - 2}{3} \times ( \frac{4}{15} ) = ( \frac{ - 24 + 16}{45} )$

$\frac{ - 8}{45} = \frac{ - 8}{45}$