Basic Math Examples

$\frac{5}{6} - \frac{1}{4}$

Step 1

To write

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

$\frac{2}{2}$ .

$\frac{5}{6} \cdot \frac{2}{2} - \frac{1}{4}$

Step 2

To write

$- \frac{1}{4}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{5}{6} \cdot \frac{2}{2} - \frac{1}{4} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

$12$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{5}{6}$ by

$\frac{2}{2}$ .

$\frac{5 \cdot 2}{6 \cdot 2} - \frac{1}{4} \cdot \frac{3}{3}$

Step 3.2

Multiply

$6$ by

$2$ .

$\frac{5 \cdot 2}{12} - \frac{1}{4} \cdot \frac{3}{3}$

Step 3.3

Multiply

$\frac{1}{4}$ by

$\frac{3}{3}$ .

$\frac{5 \cdot 2}{12} - \frac{3}{4 \cdot 3}$

Step 3.4

Multiply

$4$ by

$3$ .

$\frac{5 \cdot 2}{12} - \frac{3}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 - 3}{12}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$2$ .

$\frac{10 - 3}{12}$

Step 5.2

Subtract

$3$ from

$10$ .

$\frac{7}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$