Basic Math Examples

5 \frac{1}{4}

$5 \frac{1}{4}$

Step 1

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

5 + \frac{1}{4}

$5 + \frac{1}{4}$

Step 2

Add

5

$5$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

$5 \cdot \frac{4}{4} + \frac{1}{4}$

Step 2.2

Combine

5

$5$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5 \cdot 4}{4} + \frac{1}{4}

$\frac{5 \cdot 4}{4} + \frac{1}{4}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 4 + 1}{4}

$\frac{5 \cdot 4 + 1}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

4

$4$ .

\frac{20 + 1}{4}

$\frac{20 + 1}{4}$

Step 2.4.2

Add

20

$20$ and

1

$1$ .

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$

\frac{21}{4}

$\frac{21}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{21}{4}

$\frac{21}{4}$

Decimal Form:

5.25

$5.25$

Mixed Number Form:

5 \frac{1}{4}

$5 \frac{1}{4}$