Simplify 7/10-2/15

$\frac{7}{10} - \frac{2}{15}$

Step 1

To write

$\frac{7}{10}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{7}{10} \cdot \frac{3}{3} - \frac{2}{15}$

Step 2

To write

$- \frac{2}{15}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{7}{10} \cdot \frac{3}{3} - \frac{2}{15} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$30$ , by multiplying each by an appropriate factor of

$1$ .

Multiply

$\frac{7}{10}$ by

$\frac{3}{3}$ .

$\frac{7 \cdot 3}{10 \cdot 3} - \frac{2}{15} \cdot \frac{2}{2}$

Multiply

$10$ by

$3$ .

$\frac{7 \cdot 3}{30} - \frac{2}{15} \cdot \frac{2}{2}$

Multiply

$\frac{2}{15}$ by

$\frac{2}{2}$ .

$\frac{7 \cdot 3}{30} - \frac{2 \cdot 2}{15 \cdot 2}$

Multiply

$15$ by

$2$ .

$\frac{7 \cdot 3}{30} - \frac{2 \cdot 2}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 2 \cdot 2}{30}$

Step 5

Simplify the numerator.

Multiply

$7$ by

$3$ .

$\frac{21 - 2 \cdot 2}{30}$

Multiply

$- 2$ by

$2$ .

$\frac{21 - 4}{30}$

Subtract

$4$ from

$21$ .

$\frac{17}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{17}{30}$

Decimal Form:

$0.5\overline{6}$

Simplify 7/10-2/15

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