Basic Math Examples

$7 \frac{4}{6}$

Step 1

Convert

$7 \frac{4}{6}$ to an improper fraction.

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Step 1.1

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

$7 + \frac{4}{6}$

Step 1.2

Add

$7$ and

$\frac{4}{6}$ .

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Step 1.2.1

To write

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

$\frac{6}{6}$ .

$7 \cdot \frac{6}{6} + \frac{4}{6}$

Step 1.2.2

Combine

$7$ and

$\frac{6}{6}$ .

$\frac{7 \cdot 6}{6} + \frac{4}{6}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 6 + 4}{6}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$7$ by

$6$ .

$\frac{42 + 4}{6}$

Step 1.2.4.2

Add

$42$ and

$4$ .

$\frac{46}{6}$

Step 2

Cancel the common factor of

$46$ and

$6$ .

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Step 2.1

Factor

$2$ out of

$46$ .

$\frac{2 (23)}{6}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$2$ out of

$6$ .

$\frac{2 \cdot 23}{2 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 23}{2 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{23}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{3}$

Decimal Form:

$7.\overline{6}$

Mixed Number Form:

$7 \frac{2}{3}$