Question

1/3×(6×4/3)to(1/3×6)×4/3​

Answer 1

Answer is 4

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Answer 2

Answer:

Associative property of multiplication is used to show \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}

3

1

(6×

3

4

)=(

3

1

×6)×

3

4

Step-by-step explanation:

Given : \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}

3

1

(6×

3

4

)=(

3

1

×6)×

3

4

We have to state which property is used to show \frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}

3

1

(6×

3

4

)=(

3

1

×6)×

3

4

Associative property of multiplication states for any three real numbers a , b and c , we have,

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

similarly, here

$$\begin{lgathered}a=\frac{1}{3}\\\\ b=6 \\\\ c=\frac{4}{3}\end{lgathered}$$

Thus, $$\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$$ holds.

Therefore, Associative property of multiplication is used to show $$\frac{1}{3}(6\times \frac{4}{3} )=(\frac{1}{3}\times 6)\times \frac{4}{3}$$