Basic Math Examples

$(\frac{4}{9} - \frac{1}{3}) \div \frac{3}{10}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(\frac{4}{9} - \frac{1}{3}) \frac{10}{3}$

Step 2

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(\frac{4}{9} - \frac{1}{3} \cdot \frac{3}{3}) \frac{10}{3}$

Step 3

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{3}$ by $\frac{3}{3}$ .

$(\frac{4}{9} - \frac{3}{3 \cdot 3}) \frac{10}{3}$

Step 3.2

Multiply $3$ by $3$ .

$(\frac{4}{9} - \frac{3}{9}) \frac{10}{3}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 - 3}{9} \cdot \frac{10}{3}$

Step 5

Subtract $3$ from $4$ .

$\frac{1}{9} \cdot \frac{10}{3}$

Step 6

Multiply $\frac{1}{9} \cdot \frac{10}{3}$ .

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Step 6.1

Multiply $\frac{1}{9}$ by $\frac{10}{3}$ .

$\frac{10}{9 \cdot 3}$

Step 6.2

Multiply $9$ by $3$ .

$\frac{10}{27}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{27}$

Decimal Form:

$0.\overline{370}$