Evaluate (3+1/4)(1-4/5)

$(3 + \frac{1}{4}) (1 - \frac{4}{5})$

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

$(3 \cdot \frac{4}{4} + \frac{1}{4}) (1 - \frac{4}{5})$

Combine $3$ and $\frac{4}{4}$ .

$(\frac{3 \cdot 4}{4} + \frac{1}{4}) (1 - \frac{4}{5})$

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 + 1}{4} (1 - \frac{4}{5})$

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{12 + 1}{4} (1 - \frac{4}{5})$

Add $12$ and $1$ .

$\frac{13}{4} (1 - \frac{4}{5})$

Write $1$ as a fraction with a common denominator.

$\frac{13}{4} (\frac{5}{5} - \frac{4}{5})$

Combine the numerators over the common denominator.

$\frac{13}{4} \cdot \frac{5 - 4}{5}$

Subtract $4$ from $5$ .

$\frac{13}{4} \cdot \frac{1}{5}$

Multiply $\frac{13}{4} \cdot \frac{1}{5}$ .

Multiply $\frac{13}{4}$ by $\frac{1}{5}$ .

$\frac{13}{4 \cdot 5}$

Multiply $4$ by $5$ .

$\frac{13}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{20}$

Decimal Form:

$0.65$