Basic Math Examples

\frac{4}{9} - \frac{2}{8}

$\frac{4}{9} - \frac{2}{8}$

Step 1

Cancel the common factor of

2

$2$ and

8

$8$ .

Tap for more steps...

Step 1.1

Factor

2

$2$ out of

2

$2$ .

\frac{4}{9} - \frac{2 (1)}{8}

$\frac{4}{9} - \frac{2 (1)}{8}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{4}{9} - \frac{2 \cdot 1}{2 \cdot 4}

$\frac{4}{9} - \frac{2 \cdot 1}{2 \cdot 4}$

Step 1.2.2

Cancel the common factor.

$\frac{4}{9} - \frac{2 \cdot 1}{2 \cdot 4}$

Step 1.2.3

Rewrite the expression.

$\frac{4}{9} - \frac{1}{4}$

Step 2

To write

$\frac{4}{9}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{4}{9} \cdot \frac{4}{4} - \frac{1}{4}$

Step 3

To write

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

$\frac{9}{9}$ .

$\frac{4}{9} \cdot \frac{4}{4} - \frac{1}{4} \cdot \frac{9}{9}$

Step 4

Write each expression with a common denominator of

$36$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 4.1

Multiply

$\frac{4}{9}$ by

$\frac{4}{4}$ .

$\frac{4 \cdot 4}{9 \cdot 4} - \frac{1}{4} \cdot \frac{9}{9}$

Step 4.2

Multiply

$9$ by

$4$ .

$\frac{4 \cdot 4}{36} - \frac{1}{4} \cdot \frac{9}{9}$

Step 4.3

Multiply

$\frac{1}{4}$ by

$\frac{9}{9}$ .

$\frac{4 \cdot 4}{36} - \frac{9}{4 \cdot 9}$

Step 4.4

Multiply

$4$ by

$9$ .

$\frac{4 \cdot 4}{36} - \frac{9}{36}$

Step 5

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 - 9}{36}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply

$4$ by

$4$ .

$\frac{16 - 9}{36}$

Step 6.2

Subtract

$9$ from

$16$ .

$\frac{7}{36}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{36}$

Decimal Form:

$0.19\overline{4}$