Evaluate 3/4-2/5

$\frac{3}{4} - \frac{2}{5}$

Step 1

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

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

Step 2

To write $- \frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

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 $\frac{5}{5}$ .

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

Multiply $4$ by $5$ .

$\frac{3 \cdot 5}{20} - \frac{2}{5} \cdot \frac{4}{4}$

Multiply $\frac{2}{5}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 5}{20} - \frac{2 \cdot 4}{5 \cdot 4}$

Multiply $5$ by $4$ .

$\frac{3 \cdot 5}{20} - \frac{2 \cdot 4}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 - 2 \cdot 4}{20}$

Step 5

Simplify the numerator.

Multiply $3$ by $5$ .

$\frac{15 - 2 \cdot 4}{20}$

Multiply $- 2$ by $4$ .

$\frac{15 - 8}{20}$

Subtract $8$ from $15$ .

$\frac{7}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{20}$

Decimal Form:

$0.35$