Pre-Algebra Examples

$\frac{1}{4} + \frac{1}{8} + \frac{1}{4} + \frac{1}{8}$

Step 1

Combine fractions.

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Step 1.1

Combine the numerators over the common denominator.

$\frac{1 + 1}{4} + \frac{1 + 1}{8}$

Step 1.2

Simplify by adding numbers.

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Step 1.2.1

Add $1$ and $1$ .

$\frac{2}{4} + \frac{1 + 1}{8}$

Step 1.2.2

Add $1$ and $1$ .

$\frac{2}{4} + \frac{2}{8}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $2$ and $4$ .

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Step 2.1.1

Factor $2$ out of $2$ .

$\frac{2 (1)}{4} + \frac{2}{8}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 1}{2 \cdot 2} + \frac{2}{8}$

Step 2.1.2.2

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 2} + \frac{2}{8}$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{2} + \frac{2}{8}$

Step 2.2

Cancel the common factor of $2$ and $8$ .

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Step 2.2.1

Factor $2$ out of $2$ .

$\frac{1}{2} + \frac{2 (1)}{8}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $8$ .

$\frac{1}{2} + \frac{2 \cdot 1}{2 \cdot 4}$

Step 2.2.2.2

Cancel the common factor.

$\frac{1}{2} + \frac{2 \cdot 1}{2 \cdot 4}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{2} + \frac{1}{4}$

Step 3

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{2}{2} + \frac{1}{4}$

Step 4

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$\frac{2}{2 \cdot 2} + \frac{1}{4}$

Step 4.2

Multiply $2$ by $2$ .

$\frac{2}{4} + \frac{1}{4}$

Step 5

Combine the numerators over the common denominator.

$\frac{2 + 1}{4}$

Step 6

Add $2$ and $1$ .

$\frac{3}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$