Evaluate 7/10-4/15

$\frac{7}{10} - \frac{4}{15}$

Step 1

To write $\frac{7}{10}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{7}{10} \cdot \frac{3}{3} - \frac{4}{15}$

Step 2

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

$\frac{7}{10} \cdot \frac{3}{3} - \frac{4}{15} \cdot \frac{2}{2}$

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 $\frac{3}{3}$ .

$\frac{7 \cdot 3}{10 \cdot 3} - \frac{4}{15} \cdot \frac{2}{2}$

Multiply $10$ by $3$ .

$\frac{7 \cdot 3}{30} - \frac{4}{15} \cdot \frac{2}{2}$

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

$\frac{7 \cdot 3}{30} - \frac{4 \cdot 2}{15 \cdot 2}$

Multiply $15$ by $2$ .

$\frac{7 \cdot 3}{30} - \frac{4 \cdot 2}{30}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 4 \cdot 2}{30}$

Step 5

Simplify the numerator.

Multiply $7$ by $3$ .

$\frac{21 - 4 \cdot 2}{30}$

Multiply $- 4$ by $2$ .

$\frac{21 - 8}{30}$

Subtract $8$ from $21$ .

$\frac{13}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{30}$

Decimal Form:

$0.4\overline{3}$