Finite Math Examples

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

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 2

Simplify the numerator.

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Step 2.1

Rewrite

28

$28$ as

2^{2} \cdot 7

$2^{2} \cdot 7$ .

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Step 2.1.1

Factor

4

$4$ out of

28

$28$ .

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

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

Step 2.1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

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

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

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

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

Step 2.2

Pull terms out from under the radical.

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

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

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

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

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Subtract

118

$118$ from

119

$119$ .

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

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

Step 3.2

Multiply

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

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

1

$1$ .

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

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

Step 3.3

Cancel the common factor of

2

$2$ and

6

$6$ .

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Step 3.3.1

Factor

2

$2$ out of

2 \sqrt{7}

$2 \sqrt{7}$ .

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

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

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor

2

$2$ out of

6

$6$ .

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

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

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:

$0.88191710 \dots$