Basic Math Examples

\frac{5}{8} + \frac{3}{10}

$\frac{5}{8} + \frac{3}{10}$

Step 1

To write

\frac{5}{8}

$\frac{5}{8}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{5}{8} \cdot \frac{5}{5} + \frac{3}{10}

$\frac{5}{8} \cdot \frac{5}{5} + \frac{3}{10}$

Step 2

To write

\frac{3}{10}

$\frac{3}{10}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5}{8} \cdot \frac{5}{5} + \frac{3}{10} \cdot \frac{4}{4}

$\frac{5}{8} \cdot \frac{5}{5} + \frac{3}{10} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

40

$40$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{5}{8}

$\frac{5}{8}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{5 \cdot 5}{8 \cdot 5} + \frac{3}{10} \cdot \frac{4}{4}

$\frac{5 \cdot 5}{8 \cdot 5} + \frac{3}{10} \cdot \frac{4}{4}$

Step 3.2

Multiply

8

$8$ by

5

$5$ .

\frac{5 \cdot 5}{40} + \frac{3}{10} \cdot \frac{4}{4}

$\frac{5 \cdot 5}{40} + \frac{3}{10} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{3}{10}

$\frac{3}{10}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{10 \cdot 4}

$\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{10 \cdot 4}$

Step 3.4

Multiply

10

$10$ by

4

$4$ .

\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{40}

$\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{40}$

\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{40}

$\frac{5 \cdot 5}{40} + \frac{3 \cdot 4}{40}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 5 + 3 \cdot 4}{40}

$\frac{5 \cdot 5 + 3 \cdot 4}{40}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

5

$5$ .

\frac{25 + 3 \cdot 4}{40}

$\frac{25 + 3 \cdot 4}{40}$

Step 5.2

Multiply

3

$3$ by

4

$4$ .

\frac{25 + 12}{40}

$\frac{25 + 12}{40}$

Step 5.3

Add

25

$25$ and

12

$12$ .

\frac{37}{40}

$\frac{37}{40}$

\frac{37}{40}

$\frac{37}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{37}{40}

$\frac{37}{40}$

Decimal Form:

0.925

$0.925$