Basic Math Examples

$(\frac{3}{8} - \frac{1}{16}) \div \frac{1}{2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{3}{8} - \frac{1}{16}) \cdot 2$

Step 2

To write $\frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(\frac{3}{8} \cdot \frac{2}{2} - \frac{1}{16}) \cdot 2$

Step 3

Write each expression with a common denominator of $16$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{3}{8}$ by $\frac{2}{2}$ .

$(\frac{3 \cdot 2}{8 \cdot 2} - \frac{1}{16}) \cdot 2$

Step 3.2

Multiply $8$ by $2$ .

$(\frac{3 \cdot 2}{16} - \frac{1}{16}) \cdot 2$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 - 1}{16} \cdot 2$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $2$ .

$\frac{6 - 1}{16} \cdot 2$

Step 5.2

Subtract $1$ from $6$ .

$\frac{5}{16} \cdot 2$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $16$ .

$\frac{5}{2 (8)} \cdot 2$

Step 6.2

Cancel the common factor.

$\frac{5}{2 \cdot 8} \cdot 2$

Step 6.3

Rewrite the expression.

$\frac{5}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{8}$

Decimal Form:

$0.625$