Basic Math Examples

\frac{7}{15} + \frac{1}{3}

$\frac{7}{15} + \frac{1}{3}$

Step 1

To write

\frac{1}{3}

$\frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{7}{15} + \frac{1}{3} \cdot \frac{5}{5}

$\frac{7}{15} + \frac{1}{3} \cdot \frac{5}{5}$

Step 2

Write each expression with a common denominator of

15

$15$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 2.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{7}{15} + \frac{5}{3 \cdot 5}

$\frac{7}{15} + \frac{5}{3 \cdot 5}$

Step 2.2

Multiply

3

$3$ by

5

$5$ .

\frac{7}{15} + \frac{5}{15}

$\frac{7}{15} + \frac{5}{15}$

\frac{7}{15} + \frac{5}{15}

$\frac{7}{15} + \frac{5}{15}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

\frac{7 + 5}{15}

$\frac{7 + 5}{15}$

Step 3.2

Add

7

$7$ and

5

$5$ .

\frac{12}{15}

$\frac{12}{15}$

\frac{12}{15}

$\frac{12}{15}$

Step 4

Cancel the common factor of

12

$12$ and

15

$15$ .

Tap for more steps...

Step 4.1

Factor

3

$3$ out of

12

$12$ .

\frac{3 (4)}{15}

$\frac{3 (4)}{15}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor

3

$3$ out of

15

$15$ .

\frac{3 \cdot 4}{3 \cdot 5}

$\frac{3 \cdot 4}{3 \cdot 5}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot 4}{3 \cdot 5}$

Step 4.2.3

Rewrite the expression.

$\frac{4}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{5}$

Decimal Form:

$0.8$