Basic Math Examples

\frac{2}{3} - \frac{1}{4}

$\frac{2}{3} - \frac{1}{4}$

Step 1

To write

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

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

Step 2

To write

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

$\frac{3}{3}$ .

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

Step 3

Write each expression with a common denominator of

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

$1$ .

Tap for more steps...

Step 3.1

Multiply

$\frac{2}{3}$ by

$\frac{4}{4}$ .

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

Step 3.2

Multiply

$3$ by

$4$ .

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

Step 3.3

Multiply

$\frac{1}{4}$ by

$\frac{3}{3}$ .

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

Step 3.4

Multiply

$4$ by

$3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

Multiply

$2$ by

$4$ .

$\frac{8 - 3}{12}$

Step 5.2

Subtract

$3$ from

$8$ .

$\frac{5}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{12}$

Decimal Form:

$0.41\overline{6}$