Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{2}

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

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Step 1.1

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

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

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

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

2

$2$ and

1

$1$ .

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

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

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

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

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

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

Step 2

Multiply

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

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

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Step 2.1

Multiply

\frac{3}{2}

$\frac{3}{2}$ by

\frac{3}{4}

$\frac{3}{4}$ .

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

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

Step 2.2

Multiply

3

$3$ by

3

$3$ .

\frac{9}{2 \cdot 4}

$\frac{9}{2 \cdot 4}$

Step 2.3

Multiply

2

$2$ by

4

$4$ .

\frac{9}{8}

$\frac{9}{8}$

\frac{9}{8}

$\frac{9}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{9}{8}

$\frac{9}{8}$

Decimal Form:

1.125

$1.125$

Mixed Number Form:

1 \frac{1}{8}

$1 \frac{1}{8}$