Basic Math Examples

$\frac{1}{90} + \frac{7}{120}$

Step 1

To write

$\frac{1}{90}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{1}{90} \cdot \frac{4}{4} + \frac{7}{120}$

Step 2

To write

$\frac{7}{120}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{1}{90} \cdot \frac{4}{4} + \frac{7}{120} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

$360$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{1}{90}$ by

$\frac{4}{4}$ .

$\frac{4}{90 \cdot 4} + \frac{7}{120} \cdot \frac{3}{3}$

Step 3.2

Multiply

$90$ by

$4$ .

$\frac{4}{360} + \frac{7}{120} \cdot \frac{3}{3}$

Step 3.3

Multiply

$\frac{7}{120}$ by

$\frac{3}{3}$ .

$\frac{4}{360} + \frac{7 \cdot 3}{120 \cdot 3}$

Step 3.4

Multiply

$120$ by

$3$ .

$\frac{4}{360} + \frac{7 \cdot 3}{360}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 + 7 \cdot 3}{360}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$7$ by

$3$ .

$\frac{4 + 21}{360}$

Step 5.2

Add

$4$ and

$21$ .

$\frac{25}{360}$

Step 6

Cancel the common factor of

$25$ and

$360$ .

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Step 6.1

Factor

$5$ out of

$25$ .

$\frac{5 (5)}{360}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor

$5$ out of

$360$ .

$\frac{5 \cdot 5}{5 \cdot 72}$

Step 6.2.2

Cancel the common factor.

$\frac{5 \cdot 5}{5 \cdot 72}$

Step 6.2.3

Rewrite the expression.

$\frac{5}{72}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{72}$

Decimal Form:

$0.069\overline{4}$