Algebra Examples

5 \frac{2}{7}

$5 \frac{2}{7}$

Step 1

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

5 + \frac{2}{7}

$5 + \frac{2}{7}$

Step 2

Add

5

$5$ and

\frac{2}{7}

$\frac{2}{7}$ .

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Step 2.1

To write

5

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

\frac{7}{7}

$\frac{7}{7}$ .

5 \cdot \frac{7}{7} + \frac{2}{7}

$5 \cdot \frac{7}{7} + \frac{2}{7}$

Step 2.2

Combine

5

$5$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{5 \cdot 7}{7} + \frac{2}{7}

$\frac{5 \cdot 7}{7} + \frac{2}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 7 + 2}{7}

$\frac{5 \cdot 7 + 2}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

5

$5$ by

7

$7$ .

\frac{35 + 2}{7}

$\frac{35 + 2}{7}$

Step 2.4.2

Add

35

$35$ and

2

$2$ .

\frac{37}{7}

$\frac{37}{7}$

\frac{37}{7}

$\frac{37}{7}$

\frac{37}{7}

$\frac{37}{7}$

5 \frac{2}{7}

$5 \frac{2}{7}$

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