Basic Math Examples

7 \frac{1}{4}

$7 \frac{1}{4}$

Step 1

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

7 + \frac{1}{4}

$7 + \frac{1}{4}$

Step 2

Add

7

$7$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

$7 \cdot \frac{4}{4} + \frac{1}{4}$

Step 2.2

Combine

7

$7$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7 \cdot 4}{4} + \frac{1}{4}

$\frac{7 \cdot 4}{4} + \frac{1}{4}$

Step 2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 4 + 1}{4}

$\frac{7 \cdot 4 + 1}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

7

$7$ by

4

$4$ .

\frac{28 + 1}{4}

$\frac{28 + 1}{4}$

Step 2.4.2

Add

28

$28$ and

1

$1$ .

\frac{29}{4}

$\frac{29}{4}$

\frac{29}{4}

$\frac{29}{4}$

\frac{29}{4}

$\frac{29}{4}$