Simplify 1 1/2*5/6

$1 \frac{1}{2} \cdot \frac{5}{6}$

Convert

$1 \frac{1}{2}$ to an improper fraction.

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

$(1 + \frac{1}{2}) \cdot \frac{5}{6}$

Add

$1$ and

$\frac{1}{2}$ .

Write

$1$ as a fraction with a common denominator.

$(\frac{2}{2} + \frac{1}{2}) \cdot \frac{5}{6}$

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} \cdot \frac{5}{6}$

Add

$2$ and

$1$ .

$\frac{3}{2} \cdot \frac{5}{6}$

Cancel the common factor of

$3$ .

Factor

$3$ out of

$6$ .

$\frac{3}{2} \cdot \frac{5}{3 (2)}$

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2} \cdot \frac{5}{2}$

Multiply

$\frac{1}{2}$ by

$\frac{5}{2}$ .

$\frac{5}{2 \cdot 2}$

Multiply

$2$ by

$2$ .

$\frac{5}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$