Basic Math Examples

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

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

Step 1

Convert

2 \frac{1}{4}

$2 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

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

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

Step 1.2

Add

2

$2$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 1}{4} \cdot \frac{1}{2}

$\frac{8 + 1}{4} \cdot \frac{1}{2}$

Step 1.2.4.2

Add

8

$8$ and

1

$1$ .

\frac{9}{4} \cdot \frac{1}{2}

$\frac{9}{4} \cdot \frac{1}{2}$

\frac{9}{4} \cdot \frac{1}{2}

$\frac{9}{4} \cdot \frac{1}{2}$

\frac{9}{4} \cdot \frac{1}{2}

$\frac{9}{4} \cdot \frac{1}{2}$

\frac{9}{4} \cdot \frac{1}{2}

$\frac{9}{4} \cdot \frac{1}{2}$

Step 2

Multiply

\frac{9}{4} \cdot \frac{1}{2}

$\frac{9}{4} \cdot \frac{1}{2}$ .

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Step 2.1

Multiply

\frac{9}{4}

$\frac{9}{4}$ by

\frac{1}{2}

$\frac{1}{2}$ .

\frac{9}{4 \cdot 2}

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

Step 2.2

Multiply

4

$4$ by

2

$2$ .

\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}

$1 \frac{1}{8}$