Basic Math Examples

$18 - 12 \frac{5}{8}$

Step 1

Convert $12 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

$18 - (12 + \frac{5}{8})$

Step 1.2

Add $12$ and $\frac{5}{8}$ .

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Step 1.2.1

To write $12$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$18 - (12 \cdot \frac{8}{8} + \frac{5}{8})$

Step 1.2.2

Combine $12$ and $\frac{8}{8}$ .

$18 - (\frac{12 \cdot 8}{8} + \frac{5}{8})$

Step 1.2.3

Combine the numerators over the common denominator.

$18 - \frac{12 \cdot 8 + 5}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $12$ by $8$ .

$18 - \frac{96 + 5}{8}$

Step 1.2.4.2

Add $96$ and $5$ .

$18 - \frac{101}{8}$

Step 2

To write $18$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$18 \cdot \frac{8}{8} - \frac{101}{8}$

Step 3

Combine $18$ and $\frac{8}{8}$ .

$\frac{18 \cdot 8}{8} - \frac{101}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{18 \cdot 8 - 101}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $18$ by $8$ .

$\frac{144 - 101}{8}$

Step 5.2

Subtract $101$ from $144$ .

$\frac{43}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{43}{8}$

Decimal Form:

$5.375$

Mixed Number Form:

$5 \frac{3}{8}$