Pre-Algebra Examples

$15 - 5 \frac{2}{9}$

Step 1

Convert $5 \frac{2}{9}$ to an improper fraction.

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Step 1.1

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

$15 - (5 + \frac{2}{9})$

Step 1.2

Add $5$ and $\frac{2}{9}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$15 - (5 \cdot \frac{9}{9} + \frac{2}{9})$

Step 1.2.2

Combine $5$ and $\frac{9}{9}$ .

$15 - (\frac{5 \cdot 9}{9} + \frac{2}{9})$

Step 1.2.3

Combine the numerators over the common denominator.

$15 - \frac{5 \cdot 9 + 2}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $9$ .

$15 - \frac{45 + 2}{9}$

Step 1.2.4.2

Add $45$ and $2$ .

$15 - \frac{47}{9}$

Step 2

To write $15$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$15 \cdot \frac{9}{9} - \frac{47}{9}$

Step 3

Combine $15$ and $\frac{9}{9}$ .

$\frac{15 \cdot 9}{9} - \frac{47}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{15 \cdot 9 - 47}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $15$ by $9$ .

$\frac{135 - 47}{9}$

Step 5.2

Subtract $47$ from $135$ .

$\frac{88}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{88}{9}$

Decimal Form:

$9.\overline{7}$

Mixed Number Form:

$9 \frac{7}{9}$