Question

Verify The Associative property for 1/3 x 2/5 x 3/6

The Answer in book is 1/15 can anybody explain me how​

Answer 1

Answer:

1/3 × {2/5 × 3/6}

1/3 × { 1/5 }

1/15"

Step-by-step explanation:

1/15 is answer due to simplification

Answer 2

$\tt { : \implies} \: \dfrac{1}{3} \times \bigg [ \dfrac{ \cancel2}{5} \times \dfrac{ \cancel3}{ \cancel6} \bigg ] = \tt \: \dfrac{2}{5} \times \bigg [ \dfrac{1}{ \cancel3} \times \dfrac{ \cancel3}{6} \bigg ] \\ \\ \\ \tt { : \implies}\frac{1}{3} \times \frac{1}{5} = \frac{ \cancel2}{5} \times \frac{1}{ \cancel6} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt { : \implies} \frac{1}{15} = \frac{1}{5} \times \frac{1}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt { : \implies}{ \boxed{ \pmb{ \tt{ \frac{1}{15} = \frac{1}{15} }}} \bigstar} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope this helped you mate this is how the answer came!!