Pre-Algebra Examples

0 + \frac{3}{8} + \frac{3}{4} + \frac{3}{8}

$0 + \frac{3}{8} + \frac{3}{4} + \frac{3}{8}$

Step 1

Combine the numerators over the common denominator.

\frac{3 + 3}{8} + \frac{3}{4}

$\frac{3 + 3}{8} + \frac{3}{4}$

Step 2

Add

3

$3$ and

3

$3$ .

\frac{6}{8} + \frac{3}{4}

$\frac{6}{8} + \frac{3}{4}$

Step 3

Cancel the common factor of

6

$6$ and

8

$8$ .

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Step 3.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 (3)}{8} + \frac{3}{4}

$\frac{2 (3)}{8} + \frac{3}{4}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

2

$2$ out of

8

$8$ .

\frac{2 \cdot 3}{2 \cdot 4} + \frac{3}{4}

$\frac{2 \cdot 3}{2 \cdot 4} + \frac{3}{4}$

Step 3.2.2

Cancel the common factor.

\frac{2 \cdot 3}{2 \cdot 4} + \frac{3}{4}

$\frac{2 \cdot 3}{2 \cdot 4} + \frac{3}{4}$

Step 3.2.3

Rewrite the expression.

\frac{3}{4} + \frac{3}{4}

$\frac{3}{4} + \frac{3}{4}$

\frac{3}{4} + \frac{3}{4}

$\frac{3}{4} + \frac{3}{4}$

\frac{3}{4} + \frac{3}{4}

$\frac{3}{4} + \frac{3}{4}$

Step 4

Combine the numerators over the common denominator.

\frac{3 + 3}{4}

$\frac{3 + 3}{4}$

Step 5

Add

3

$3$ and

3

$3$ .

\frac{6}{4}

$\frac{6}{4}$

Step 6

Cancel the common factor of

6

$6$ and

4

$4$ .

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Step 6.1

Factor

2

$2$ out of

6

$6$ .

\frac{2 (3)}{4}

$\frac{2 (3)}{4}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor

2

$2$ out of

4

$4$ .

\frac{2 \cdot 3}{2 \cdot 2}

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

Step 6.2.2

Cancel the common factor.

\frac{2 \cdot 3}{2 \cdot 2}

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

Step 6.2.3

Rewrite the expression.

\frac{3}{2}

$\frac{3}{2}$

\frac{3}{2}

$\frac{3}{2}$

\frac{3}{2}

$\frac{3}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{3}{2}

$\frac{3}{2}$

Decimal Form:

1.5

$1.5$

Mixed Number Form:

1 \frac{1}{2}

$1 \frac{1}{2}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$