Basic Math Examples

$\frac{1}{15} + \frac{1}{25} + \frac{1}{17}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{15}$ by $\frac{85}{85}$ .

$\frac{1}{15} \cdot \frac{85}{85} + \frac{1}{25} + \frac{1}{17}$

Step 1.2

Multiply $\frac{1}{15}$ by $\frac{85}{85}$ .

$\frac{85}{15 \cdot 85} + \frac{1}{25} + \frac{1}{17}$

Step 1.3

Multiply $\frac{1}{25}$ by $\frac{51}{51}$ .

$\frac{85}{15 \cdot 85} + \frac{1}{25} \cdot \frac{51}{51} + \frac{1}{17}$

Step 1.4

Multiply $\frac{1}{25}$ by $\frac{51}{51}$ .

$\frac{85}{15 \cdot 85} + \frac{51}{25 \cdot 51} + \frac{1}{17}$

Step 1.5

Multiply $\frac{1}{17}$ by $\frac{75}{75}$ .

$\frac{85}{15 \cdot 85} + \frac{51}{25 \cdot 51} + \frac{1}{17} \cdot \frac{75}{75}$

Step 1.6

Multiply $\frac{1}{17}$ by $\frac{75}{75}$ .

$\frac{85}{15 \cdot 85} + \frac{51}{25 \cdot 51} + \frac{75}{17 \cdot 75}$

Step 1.7

Multiply $15$ by $85$ .

$\frac{85}{1275} + \frac{51}{25 \cdot 51} + \frac{75}{17 \cdot 75}$

Step 1.8

Multiply $25$ by $51$ .

$\frac{85}{1275} + \frac{51}{1275} + \frac{75}{17 \cdot 75}$

Step 1.9

Multiply $17$ by $75$ .

$\frac{85}{1275} + \frac{51}{1275} + \frac{75}{1275}$

Step 2

Combine the numerators over the common denominator.

$\frac{85 + 51 + 75}{1275}$

Step 3

Simplify by adding numbers.

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Step 3.1

Add $85$ and $51$ .

$\frac{136 + 75}{1275}$

Step 3.2

Add $136$ and $75$ .

$\frac{211}{1275}$