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