Basic Math Examples

$\frac{4}{15} + \frac{- 1}{10}$

Step 1

To write $\frac{4}{15}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{4}{15} \cdot \frac{2}{2} + \frac{- 1}{10}$

Step 2

To write $\frac{- 1}{10}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{4}{15} \cdot \frac{2}{2} + \frac{- 1}{10} \cdot \frac{3}{3}$

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 $\frac{4}{15}$ by $\frac{2}{2}$ .

$\frac{4 \cdot 2}{15 \cdot 2} + \frac{- 1}{10} \cdot \frac{3}{3}$

Step 3.2

Multiply $15$ by $2$ .

$\frac{4 \cdot 2}{30} + \frac{- 1}{10} \cdot \frac{3}{3}$

Step 3.3

Multiply $\frac{- 1}{10}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 2}{30} + \frac{- 1 \cdot 3}{10 \cdot 3}$

Step 3.4

Multiply $10$ by $3$ .

$\frac{4 \cdot 2}{30} + \frac{- 1 \cdot 3}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 - 1 \cdot 3}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $2$ .

$\frac{8 - 1 \cdot 3}{30}$

Step 5.2

Multiply $- 1$ by $3$ .

$\frac{8 - 3}{30}$

Step 5.3

Subtract $3$ from $8$ .

$\frac{5}{30}$

Step 6

Cancel the common factor of $5$ and $30$ .

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Step 6.1

Factor $5$ out of $5$ .

$\frac{5 (1)}{30}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $5$ out of $30$ .

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

Step 6.2.2

Cancel the common factor.

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

Step 6.2.3

Rewrite the expression.

$\frac{1}{6}$