Algebra Examples

$\frac{5}{8} + \frac{1}{10}$

Step 1

To write

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

$\frac{5}{5}$ .

$\frac{5}{8} \cdot \frac{5}{5} + \frac{1}{10}$

Step 2

To write

$\frac{1}{10}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{5}{8} \cdot \frac{5}{5} + \frac{1}{10} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

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

$1$ .

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Step 3.1

Multiply

$\frac{5}{8}$ by

$\frac{5}{5}$ .

$\frac{5 \cdot 5}{8 \cdot 5} + \frac{1}{10} \cdot \frac{4}{4}$

Step 3.2

Multiply

$8$ by

$5$ .

$\frac{5 \cdot 5}{40} + \frac{1}{10} \cdot \frac{4}{4}$

Step 3.3

Multiply

$\frac{1}{10}$ by

$\frac{4}{4}$ .

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

Step 3.4

Multiply

$10$ by

$4$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$5$ .

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

Step 5.2

Add

$25$ and

$4$ .

$\frac{29}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{40}$

Decimal Form:

$0.725$