Evaluate 4/5-3/4

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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

Multiply $5$ by $4$ .

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

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

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

Multiply $4$ by $5$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $4$ by $4$ .

$\frac{16 - 3 \cdot 5}{20}$

Multiply $- 3$ by $5$ .

$\frac{16 - 15}{20}$

Subtract $15$ from $16$ .

$\frac{1}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{20}$

Decimal Form:

$0.05$