Algebra Examples

\frac{7}{8} - \frac{1}{6}

$\frac{7}{8} - \frac{1}{6}$

Step 1

To write

\frac{7}{8}

$\frac{7}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7}{8} \cdot \frac{3}{3} - \frac{1}{6}

$\frac{7}{8} \cdot \frac{3}{3} - \frac{1}{6}$

Step 2

To write

- \frac{1}{6}

$- \frac{1}{6}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7}{8} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{4}{4}

$\frac{7}{8} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

24

$24$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{7}{8}

$\frac{7}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7 \cdot 3}{8 \cdot 3} - \frac{1}{6} \cdot \frac{4}{4}

$\frac{7 \cdot 3}{8 \cdot 3} - \frac{1}{6} \cdot \frac{4}{4}$

Step 3.2

Multiply

8

$8$ by

3

$3$ .

\frac{7 \cdot 3}{24} - \frac{1}{6} \cdot \frac{4}{4}

$\frac{7 \cdot 3}{24} - \frac{1}{6} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{1}{6}

$\frac{1}{6}$ by

$\frac{4}{4}$ .

$\frac{7 \cdot 3}{24} - \frac{4}{6 \cdot 4}$

Step 3.4

Multiply

$6$ by

$4$ .

$\frac{7 \cdot 3}{24} - \frac{4}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 4}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$7$ by

$3$ .

$\frac{21 - 4}{24}$

Step 5.2

Subtract

$4$ from

$21$ .

$\frac{17}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{24}$

Decimal Form:

$0.708\overline{3}$