Basic Math Examples

$\frac{3}{4} \div 1 \frac{2}{3}$

Step 1

Convert $1 \frac{2}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\frac{3}{4} \div (1 + \frac{2}{3})$

Step 1.2

Add $1$ and $\frac{2}{3}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{4} \div (\frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $3$ and $2$ .

$\frac{3}{4} \div \frac{5}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{4} \cdot \frac{3}{5}$

Step 3

Multiply $\frac{3}{4} \cdot \frac{3}{5}$ .

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Step 3.1

Multiply $\frac{3}{4}$ by $\frac{3}{5}$ .

$\frac{3 \cdot 3}{4 \cdot 5}$

Step 3.2

Multiply $3$ by $3$ .

$\frac{9}{4 \cdot 5}$

Step 3.3

Multiply $4$ by $5$ .

$\frac{9}{20}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{20}$

Decimal Form:

$0.45$