Pre-Algebra Examples

$\frac{2}{5} + \frac{1}{6}$

Step 1

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{2}{5} \cdot \frac{6}{6} + \frac{1}{6}$

Step 2

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{2}{5} \cdot \frac{6}{6} + \frac{1}{6} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $30$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{2}{5}$ by $\frac{6}{6}$ .

$\frac{2 \cdot 6}{5 \cdot 6} + \frac{1}{6} \cdot \frac{5}{5}$

Step 3.2

Multiply $5$ by $6$ .

$\frac{2 \cdot 6}{30} + \frac{1}{6} \cdot \frac{5}{5}$

Step 3.3

Multiply $\frac{1}{6}$ by $\frac{5}{5}$ .

$\frac{2 \cdot 6}{30} + \frac{5}{6 \cdot 5}$

Step 3.4

Multiply $6$ by $5$ .

$\frac{2 \cdot 6}{30} + \frac{5}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 6 + 5}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $6$ .

$\frac{12 + 5}{30}$

Step 5.2

Add $12$ and $5$ .

$\frac{17}{30}$

Step 6

The approximate value of $\frac{2}{5} + \frac{1}{6}$ found by front end estimation.

$\frac{2}{5} + \frac{1}{6} \approx \frac{17}{30}$