Algebra Examples

\frac{5}{6} - \frac{7}{9}

$\frac{5}{6} - \frac{7}{9}$

Step 1

To write

\frac{5}{6}

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9}

$\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9}$

Step 2

To write

- \frac{7}{9}

$- \frac{7}{9}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9} \cdot \frac{2}{2}

$\frac{5}{6} \cdot \frac{3}{3} - \frac{7}{9} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

18

$18$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5 \cdot 3}{6 \cdot 3} - \frac{7}{9} \cdot \frac{2}{2}

$\frac{5 \cdot 3}{6 \cdot 3} - \frac{7}{9} \cdot \frac{2}{2}$

Step 3.2

Multiply

6

$6$ by

3

$3$ .

\frac{5 \cdot 3}{18} - \frac{7}{9} \cdot \frac{2}{2}

$\frac{5 \cdot 3}{18} - \frac{7}{9} \cdot \frac{2}{2}$

Step 3.3

Multiply

\frac{7}{9}

$\frac{7}{9}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{9 \cdot 2}

$\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{9 \cdot 2}$

Step 3.4

Multiply

9

$9$ by

2

$2$ .

\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{18}

$\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{18}$

\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{18}

$\frac{5 \cdot 3}{18} - \frac{7 \cdot 2}{18}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 3 - 7 \cdot 2}{18}

$\frac{5 \cdot 3 - 7 \cdot 2}{18}$

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

5

$5$ by

3

$3$ .

\frac{15 - 7 \cdot 2}{18}

$\frac{15 - 7 \cdot 2}{18}$

Step 5.2

Multiply

- 7

$- 7$ by

2

$2$ .

\frac{15 - 14}{18}

$\frac{15 - 14}{18}$

Step 5.3

Subtract

14

$14$ from

15

$15$ .

\frac{1}{18}

$\frac{1}{18}$

\frac{1}{18}

$\frac{1}{18}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{18}

$\frac{1}{18}$

Decimal Form:

0.0\overline{5}

$0.0\overline{5}$