Evaluate 1/2*4/3*(3.14(5)^2)

$\frac{1}{2} \cdot \frac{4}{3} \cdot (3.14 {(5)}^{2})$

Cancel the common factor of $2$ .

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Factor $2$ out of $4$ .

$\frac{1}{2} \cdot \frac{2 (2)}{3} \cdot (3.14 {(5)}^{2})$

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 2}{3} \cdot (3.14 {(5)}^{2})$

Rewrite the expression.

$\frac{2}{3} \cdot (3.14 {(5)}^{2})$

Simplify the expression.

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Raise $5$ to the power of $2$ .

$\frac{2}{3} \cdot (3.14 \cdot 25)$

Multiply $3.14$ by $25$ .

$\frac{2}{3} \cdot 78.5$

Multiply $\frac{2}{3} \cdot 78.5$ .

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Combine $\frac{2}{3}$ and $78.5$ .

$\frac{2 \cdot 78.5}{3}$

Multiply $2$ by $78.5$ .

$\frac{157}{3}$

Cancel the common factor of $157$ and $3$ .

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Rewrite $157$ as $1 (157)$ .

$\frac{1 (157)}{3}$

Cancel the common factors.

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Rewrite $3$ as $1 (3)$ .

$\frac{1 \cdot 157}{1 \cdot 3}$

Cancel the common factor.

$\frac{1 \cdot 157}{1 \cdot 3}$

Rewrite the expression.

$\frac{157}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{157}{3}$

Decimal Form:

$52.\overline{3}$

Mixed Number Form:

$52 \frac{1}{3}$

Evaluate 1/2*4/3*(3.14(5)^2)

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