Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

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

Step 1.2

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

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Step 1.2.1

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

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

Step 1.2.2

Multiply $3$ by $3$ .

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

Step 1.2.3

Multiply $8$ by $2$ .

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

Step 2

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

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

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 $\frac{3}{4}$ by $\frac{4}{4}$ .

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

Step 3.2

Multiply $4$ by $4$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $4$ .

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

Step 5.2

Add $12$ and $9$ .

$\frac{21}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{16}$

Decimal Form:

$1.3125$

Mixed Number Form:

$1 \frac{5}{16}$