Finite Math Examples

$\frac{119 - 118}{\frac{6}{\sqrt{28}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(119 - 118) \frac{\sqrt{28}}{6}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $28$ as $2^{2} \cdot 7$ .

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Step 2.1.1

Factor $4$ out of $28$ .

$(119 - 118) \frac{\sqrt{4 (7)}}{6}$

Step 2.1.2

Rewrite $4$ as $2^{2}$ .

$(119 - 118) \frac{\sqrt{2^{2} \cdot 7}}{6}$

Step 2.2

Pull terms out from under the radical.

$(119 - 118) \frac{2 \sqrt{7}}{6}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Subtract $118$ from $119$ .

$1 \frac{2 \sqrt{7}}{6}$

Step 3.2

Multiply $\frac{2 \sqrt{7}}{6}$ by $1$ .

$\frac{2 \sqrt{7}}{6}$

Step 3.3

Cancel the common factor of $2$ and $6$ .

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Step 3.3.1

Factor $2$ out of $2 \sqrt{7}$ .

$\frac{2 (\sqrt{7})}{6}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $2$ out of $6$ .

$\frac{2 \sqrt{7}}{2 \cdot 3}$

Step 3.3.2.2

Cancel the common factor.

$\frac{2 \sqrt{7}}{2 \cdot 3}$

Step 3.3.2.3

Rewrite the expression.

$\frac{\sqrt{7}}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{7}}{3}$

Decimal Form:

$0.88191710 \dots$