Simplify 1 1/3*3 3/4

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

Step 1

Convert $1 \frac{1}{3}$ to an improper fraction.

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

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

Add $1$ and $\frac{1}{3}$ .

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

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

Combine the numerators over the common denominator.

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

Add $3$ and $1$ .

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

Step 2

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

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

$\frac{4}{3} \cdot (3 + \frac{3}{4})$

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

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

$\frac{4}{3} \cdot (3 \cdot \frac{4}{4} + \frac{3}{4})$

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

$\frac{4}{3} \cdot (\frac{3 \cdot 4}{4} + \frac{3}{4})$

Combine the numerators over the common denominator.

$\frac{4}{3} \cdot \frac{3 \cdot 4 + 3}{4}$

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{4}{3} \cdot \frac{12 + 3}{4}$

Add $12$ and $3$ .

$\frac{4}{3} \cdot \frac{15}{4}$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{15}{4}$

Rewrite the expression.

$\frac{1}{3} \cdot 15$

Step 4

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{1}{3} \cdot (3 (5))$

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 5)$

Rewrite the expression.

$5$