Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{2}

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

Tap for more steps...

Step 1.1

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

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

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

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

Tap for more steps...

Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

2

$2$ and

1

$1$ .

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

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

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

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

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

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

Step 2

Cancel the common factor of

3

$3$ .

Tap for more steps...

Step 2.1

Factor

3

$3$ out of

6

$6$ .

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Multiply

$\frac{1}{2}$ by

$\frac{5}{2}$ .

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

Step 4

Multiply

$2$ by

$2$ .

$\frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$