# Tell what property allows you to compute $\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$ as $\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$.

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Given:

$\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$ =$\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$

To do:

We have to find the property according to which the given equation is true.

Solution:

Associative property for multiplication:

When we multiply two or more whole numbers grouped in any order we get the same result

$(a \times b)\times c=a \times (b \times c)$

Therefore,

Associative property allows us to compute $\frac{1}{3} \times\left(6 \times \frac{4}{3}\right)$ as $\left(\frac{1}{3} \times 6\right) \times \frac{4}{3}$.

Updated on 10-Oct-2022 13:47:38