Basic Math Examples

\frac{10}{12} - \frac{1}{5}

$\frac{10}{12} - \frac{1}{5}$

Step 1

Cancel the common factor of

10

$10$ and

12

$12$ .

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Step 1.1

Factor

2

$2$ out of

10

$10$ .

\frac{2 (5)}{12} - \frac{1}{5}

$\frac{2 (5)}{12} - \frac{1}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot 5}{2 \cdot 6} - \frac{1}{5}

$\frac{2 \cdot 5}{2 \cdot 6} - \frac{1}{5}$

Step 1.2.2

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 6} - \frac{1}{5}$

Step 1.2.3

Rewrite the expression.

$\frac{5}{6} - \frac{1}{5}$

Step 2

To write

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

$\frac{5}{5}$ .

$\frac{5}{6} \cdot \frac{5}{5} - \frac{1}{5}$

Step 3

To write

$- \frac{1}{5}$ as a fraction with a common denominator, multiply by

$\frac{6}{6}$ .

$\frac{5}{6} \cdot \frac{5}{5} - \frac{1}{5} \cdot \frac{6}{6}$

Step 4

Write each expression with a common denominator of

$30$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{5}{6}$ by

$\frac{5}{5}$ .

$\frac{5 \cdot 5}{6 \cdot 5} - \frac{1}{5} \cdot \frac{6}{6}$

Step 4.2

Multiply

$6$ by

$5$ .

$\frac{5 \cdot 5}{30} - \frac{1}{5} \cdot \frac{6}{6}$

Step 4.3

Multiply

$\frac{1}{5}$ by

$\frac{6}{6}$ .

$\frac{5 \cdot 5}{30} - \frac{6}{5 \cdot 6}$

Step 4.4

Multiply

$5$ by

$6$ .

$\frac{5 \cdot 5}{30} - \frac{6}{30}$

Step 5

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 - 6}{30}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$5$ by

$5$ .

$\frac{25 - 6}{30}$

Step 6.2

Subtract

$6$ from

$25$ .

$\frac{19}{30}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{30}$

Decimal Form:

$0.6\overline{3}$