Basic Math Examples

$\frac{11}{15} - \frac{1}{10}$

Step 1

To write $\frac{11}{15}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{11}{15} \cdot \frac{2}{2} - \frac{1}{10}$

Step 2

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

$\frac{11}{15} \cdot \frac{2}{2} - \frac{1}{10} \cdot \frac{3}{3}$

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 $\frac{11}{15}$ by $\frac{2}{2}$ .

$\frac{11 \cdot 2}{15 \cdot 2} - \frac{1}{10} \cdot \frac{3}{3}$

Step 3.2

Multiply $15$ by $2$ .

$\frac{11 \cdot 2}{30} - \frac{1}{10} \cdot \frac{3}{3}$

Step 3.3

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

$\frac{11 \cdot 2}{30} - \frac{3}{10 \cdot 3}$

Step 3.4

Multiply $10$ by $3$ .

$\frac{11 \cdot 2}{30} - \frac{3}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 \cdot 2 - 3}{30}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $11$ by $2$ .

$\frac{22 - 3}{30}$

Step 5.2

Subtract $3$ from $22$ .

$\frac{19}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{30}$

Decimal Form:

$0.6\overline{3}$