Basic Math Examples

$(1 + 3) (\frac{\sqrt{25}}{\frac{5}{2}})$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $25$ as $5^{2}$ .

$(1 + 3) \frac{\sqrt{5^{2}}}{\frac{5}{2}}$

Step 1.2

Pull terms out from under the radical, assuming positive real numbers.

$(1 + 3) \frac{5}{\frac{5}{2}}$

Step 2

Add $1$ and $3$ .

$4 \frac{5}{\frac{5}{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$4 (5 (\frac{2}{5}))$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Cancel the common factor.

$4 (5 (\frac{2}{5}))$

Step 4.2

Rewrite the expression.

$4 \cdot 2$

Step 5

Multiply $4$ by $2$ .

$8$