Pre-Algebra Examples

$1 \frac{1}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$

Step 1

Convert $1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$1 + \frac{1}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$

Step 1.2

Add $1$ and $\frac{1}{2}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{2}{2} + \frac{1}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2 + 1}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$

Step 1.2.3

Add $2$ and $1$ .

$\frac{3}{2} + 1 \frac{1}{2} + 1 \frac{1}{2}$

Step 2

Convert $1 \frac{1}{2}$ to an improper fraction.

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Step 2.1

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

$\frac{3}{2} + 1 + \frac{1}{2} + 1 \frac{1}{2}$

Step 2.2

Add $1$ and $\frac{1}{2}$ .

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Step 2.2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{2} + \frac{2}{2} + \frac{1}{2} + 1 \frac{1}{2}$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{3}{2} + \frac{2 + 1}{2} + 1 \frac{1}{2}$

Step 2.2.3

Add $2$ and $1$ .

$\frac{3}{2} + \frac{3}{2} + 1 \frac{1}{2}$

Step 3

Convert $1 \frac{1}{2}$ to an improper fraction.

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Step 3.1

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

$\frac{3}{2} + \frac{3}{2} + 1 + \frac{1}{2}$

Step 3.2

Add $1$ and $\frac{1}{2}$ .

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Step 3.2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{2} + \frac{3}{2} + \frac{2}{2} + \frac{1}{2}$

Step 3.2.2

Combine the numerators over the common denominator.

$\frac{3}{2} + \frac{3}{2} + \frac{2 + 1}{2}$

Step 3.2.3

Add $2$ and $1$ .

$\frac{3}{2} + \frac{3}{2} + \frac{3}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 + 3 + 3}{2}$

Step 5

Simplify by adding numbers.

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Step 5.1

Add $3$ and $3$ .

$\frac{6 + 3}{2}$

Step 5.2

Add $6$ and $3$ .

$\frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$