Basic Math Examples

42 \frac{2}{7}

$42 \frac{2}{7}$

Step 1

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

42 + \frac{2}{7}

$42 + \frac{2}{7}$

Step 2

Add

42

$42$ and

\frac{2}{7}

$\frac{2}{7}$ .

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Step 2.1

To write

42

$42$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

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

$42 \cdot \frac{7}{7} + \frac{2}{7}$

Step 2.2

Combine

42

$42$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{42 \cdot 7}{7} + \frac{2}{7}

$\frac{42 \cdot 7}{7} + \frac{2}{7}$

Step 2.3

Combine the numerators over the common denominator.

\frac{42 \cdot 7 + 2}{7}

$\frac{42 \cdot 7 + 2}{7}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

42

$42$ by

7

$7$ .

\frac{294 + 2}{7}

$\frac{294 + 2}{7}$

Step 2.4.2

Add

294

$294$ and

2

$2$ .

\frac{296}{7}

$\frac{296}{7}$

\frac{296}{7}

$\frac{296}{7}$

\frac{296}{7}

$\frac{296}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{296}{7}

$\frac{296}{7}$

Decimal Form:

42.28571428 \dots

$42.28571428 \dots$

Mixed Number Form:

42 \frac{2}{7}

$42 \frac{2}{7}$