Basic Math Examples

$\frac{13}{14} - \frac{1}{2}$

Step 1

To write

$- \frac{1}{2}$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

$\frac{13}{14} - \frac{1}{2} \cdot \frac{7}{7}$

Step 2

Write each expression with a common denominator of

$14$ , by multiplying each by an appropriate factor of

$1$ .

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Step 2.1

Multiply

$\frac{1}{2}$ by

$\frac{7}{7}$ .

$\frac{13}{14} - \frac{7}{2 \cdot 7}$

Step 2.2

Multiply

$2$ by

$7$ .

$\frac{13}{14} - \frac{7}{14}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{13 - 7}{14}$

Step 3.2

Subtract

$7$ from

$13$ .

$\frac{6}{14}$

Step 4

Cancel the common factor of

$6$ and

$14$ .

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Step 4.1

Factor

$2$ out of

$6$ .

$\frac{2 (3)}{14}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

$2$ out of

$14$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{3}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{7}$

Decimal Form:

$0.\overline{428571}$