Basic Math Examples

$\frac{1}{8} - \frac{- \frac{3}{4}}{\frac{6}{2}}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $6$ and $2$ .

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Step 1.1.1

Factor $2$ out of $6$ .

$\frac{1}{8} - \frac{- \frac{3}{4}}{\frac{2 \cdot 3}{2}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $2$ .

$\frac{1}{8} - \frac{- \frac{3}{4}}{\frac{2 \cdot 3}{2 (1)}}$

Step 1.1.2.2

Cancel the common factor.

$\frac{1}{8} - \frac{- \frac{3}{4}}{\frac{2 \cdot 3}{2 \cdot 1}}$

Step 1.1.2.3

Rewrite the expression.

$\frac{1}{8} - \frac{- \frac{3}{4}}{\frac{3}{1}}$

Step 1.1.2.4

Divide $3$ by $1$ .

$\frac{1}{8} - \frac{- \frac{3}{4}}{3}$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{8} - (- \frac{3}{4} \cdot \frac{1}{3})$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{1}{8} - (\frac{- 3}{4} \cdot \frac{1}{3})$

Step 1.3.2

Factor $3$ out of $- 3$ .

$\frac{1}{8} - (\frac{3 (- 1)}{4} \cdot \frac{1}{3})$

Step 1.3.3

Cancel the common factor.

$\frac{1}{8} - (\frac{3 \cdot - 1}{4} \cdot \frac{1}{3})$

Step 1.3.4

Rewrite the expression.

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

Step 1.4

Move the negative in front of the fraction.

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

Step 1.5

Multiply $- - \frac{1}{4}$ .

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Step 1.5.1

Multiply $- 1$ by $- 1$ .

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

Step 1.5.2

Multiply $\frac{1}{4}$ by $1$ .

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

Step 2

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

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

Step 3.2

Multiply $4$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Add $1$ and $2$ .

$\frac{3}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$