Evaluate 3/4-7/10

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

Step 1

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3}{4} \cdot \frac{5}{5} - \frac{7}{10}$

Step 2

To write $- \frac{7}{10}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{5}{5} - \frac{7}{10} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{4}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 5}{4 \cdot 5} - \frac{7}{10} \cdot \frac{2}{2}$

Multiply $4$ by $5$ .

$\frac{3 \cdot 5}{20} - \frac{7}{10} \cdot \frac{2}{2}$

Multiply $\frac{7}{10}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 5}{20} - \frac{7 \cdot 2}{10 \cdot 2}$

Multiply $10$ by $2$ .

$\frac{3 \cdot 5}{20} - \frac{7 \cdot 2}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 - 7 \cdot 2}{20}$

Step 5

Simplify the numerator.

Multiply $3$ by $5$ .

$\frac{15 - 7 \cdot 2}{20}$

Multiply $- 7$ by $2$ .

$\frac{15 - 14}{20}$

Subtract $14$ from $15$ .

$\frac{1}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{20}$

Decimal Form:

$0.05$