Evaluate (5 3/4)(1/3)(2)

$(5 \frac{3}{4}) (\frac{1}{3}) (2)$

Convert $5 \frac{3}{4}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(5 + \frac{3}{4}) \frac{1}{3} \cdot 2$

Add $5$ and $\frac{3}{4}$ .

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

$(5 \cdot \frac{4}{4} + \frac{3}{4}) \frac{1}{3} \cdot 2$

Combine $5$ and $\frac{4}{4}$ .

$(\frac{5 \cdot 4}{4} + \frac{3}{4}) \frac{1}{3} \cdot 2$

Combine the numerators over the common denominator.

$\frac{5 \cdot 4 + 3}{4} \cdot \frac{1}{3} \cdot 2$

Simplify the numerator.

Multiply $5$ by $4$ .

$\frac{20 + 3}{4} \cdot \frac{1}{3} \cdot 2$

Add $20$ and $3$ .

$\frac{23}{4} \cdot \frac{1}{3} \cdot 2$

Multiply $\frac{23}{4} \cdot \frac{1}{3}$ .

Multiply $\frac{23}{4}$ by $\frac{1}{3}$ .

$\frac{23}{4 \cdot 3} \cdot 2$

Multiply $4$ by $3$ .

$\frac{23}{12} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $12$ .

$\frac{23}{2 (6)} \cdot 2$

Cancel the common factor.

$\frac{23}{2 \cdot 6} \cdot 2$

Rewrite the expression.

$\frac{23}{6}$

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{6}$

Decimal Form:

$3.8\overline{3}$

Mixed Number Form:

$3 \frac{5}{6}$