Basic Math Examples

$\frac{1}{3} \div \frac{1}{6} \cdot (\frac{3}{8} - \frac{1}{2})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{3} \cdot 6 \cdot (\frac{3}{8} - \frac{1}{2})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

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

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Multiply $2$ by $4$ .

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

Step 5

Simplify the expression.

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Step 5.1

Combine the numerators over the common denominator.

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

Step 5.2

Subtract $4$ from $3$ .

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

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $8$ .

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

Step 6.2

Cancel the common factor.

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

Step 6.3

Rewrite the expression.

$\frac{- 1}{4}$

Step 7

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$