Basic Math Examples

10 \frac{1}{4}

$10 \frac{1}{4}$

Step 1

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

10 + \frac{1}{4}

$10 + \frac{1}{4}$

Step 2

Add

10

$10$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 2.1

To write

10

$10$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

$10 \cdot \frac{4}{4} + \frac{1}{4}$

Step 2.2

Combine

10

$10$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{10 \cdot 4}{4} + \frac{1}{4}

$\frac{10 \cdot 4}{4} + \frac{1}{4}$

Step 2.3

Combine the numerators over the common denominator.

\frac{10 \cdot 4 + 1}{4}

$\frac{10 \cdot 4 + 1}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

10

$10$ by

4

$4$ .

\frac{40 + 1}{4}

$\frac{40 + 1}{4}$

Step 2.4.2

Add

40

$40$ and

1

$1$ .

\frac{41}{4}

$\frac{41}{4}$

\frac{41}{4}

$\frac{41}{4}$

\frac{41}{4}

$\frac{41}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{41}{4}

$\frac{41}{4}$

Decimal Form:

10.25

$10.25$

Mixed Number Form:

10 \frac{1}{4}

$10 \frac{1}{4}$