Evaluate 9/10-3/7 | Math Help

$\frac{9}{10} - \frac{3}{7}$

To write $\frac{9}{10}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{9}{10} \cdot \frac{7}{7} - \frac{3}{7}$

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

$\frac{9}{10} \cdot \frac{7}{7} - \frac{3}{7} \cdot \frac{10}{10}$

Write each expression with a common denominator of $70$ , by multiplying each by an appropriate factor of $1$ .

Expand detailed answer...

Multiply $\frac{9}{10}$ and $\frac{7}{7}$ .

$\frac{9 \cdot 7}{10 \cdot 7} - \frac{3}{7} \cdot \frac{10}{10}$

Multiply $10$ by $7$ .

$\frac{9 \cdot 7}{70} - \frac{3}{7} \cdot \frac{10}{10}$

Multiply $\frac{3}{7}$ and $\frac{10}{10}$ .

$\frac{9 \cdot 7}{70} - \frac{3 \cdot 10}{7 \cdot 10}$

Multiply $7$ by $10$ .

$\frac{9 \cdot 7}{70} - \frac{3 \cdot 10}{70}$

Combine the numerators over the common denominator.

$\frac{9 \cdot 7 - 3 \cdot 10}{70}$

Simplify the numerator.

Expand detailed answer...

Multiply $9$ by $7$ .

$\frac{63 - 3 \cdot 10}{70}$

Multiply $- 3$ by $10$ .

$\frac{63 - 30}{70}$

Subtract $30$ from $63$ .

$\frac{33}{70}$

The result can be shown in multiple forms.

Exact Form:

$\frac{33}{70}$

Decimal Form:

$0.4\overline{714285}$