Basic Math Examples

\frac{3}{4} - \frac{3}{8} \div \frac{2}{3}

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

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

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

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

Step 1.2

Multiply

\frac{3}{8} \cdot \frac{3}{2}

$\frac{3}{8} \cdot \frac{3}{2}$ .

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Step 1.2.1

Multiply

\frac{3}{8}

$\frac{3}{8}$ by

\frac{3}{2}

$\frac{3}{2}$ .

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

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

Step 1.2.2

Multiply

3

$3$ by

3

$3$ .

\frac{3}{4} - \frac{9}{8 \cdot 2}

$\frac{3}{4} - \frac{9}{8 \cdot 2}$

Step 1.2.3

Multiply

8

$8$ by

2

$2$ .

\frac{3}{4} - \frac{9}{16}

$\frac{3}{4} - \frac{9}{16}$

\frac{3}{4} - \frac{9}{16}

$\frac{3}{4} - \frac{9}{16}$

\frac{3}{4} - \frac{9}{16}

$\frac{3}{4} - \frac{9}{16}$

Step 2

To write

\frac{3}{4}

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3}{4} \cdot \frac{4}{4} - \frac{9}{16}

$\frac{3}{4} \cdot \frac{4}{4} - \frac{9}{16}$

Step 3

Write each expression with a common denominator of

16

$16$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3 \cdot 4}{4 \cdot 4} - \frac{9}{16}

$\frac{3 \cdot 4}{4 \cdot 4} - \frac{9}{16}$

Step 3.2

Multiply

4

$4$ by

4

$4$ .

\frac{3 \cdot 4}{16} - \frac{9}{16}

$\frac{3 \cdot 4}{16} - \frac{9}{16}$

\frac{3 \cdot 4}{16} - \frac{9}{16}

$\frac{3 \cdot 4}{16} - \frac{9}{16}$

Step 4

Combine the numerators over the common denominator.

\frac{3 \cdot 4 - 9}{16}

$\frac{3 \cdot 4 - 9}{16}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

4

$4$ .

\frac{12 - 9}{16}

$\frac{12 - 9}{16}$

Step 5.2

Subtract

9

$9$ from

12

$12$ .

\frac{3}{16}

$\frac{3}{16}$

\frac{3}{16}

$\frac{3}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{3}{16}

$\frac{3}{16}$

Decimal Form:

0.1875

$0.1875$