Basic Math Examples

$2 \frac{1}{3} \div \frac{7}{9}$

Step 1

Convert

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

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Step 1.1

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

$(2 + \frac{1}{3}) \div \frac{7}{9}$

Step 1.2

Add

$2$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$(2 \cdot \frac{3}{3} + \frac{1}{3}) \div \frac{7}{9}$

Step 1.2.2

Combine

$2$ and

$\frac{3}{3}$ .

$(\frac{2 \cdot 3}{3} + \frac{1}{3}) \div \frac{7}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 1}{3} \div \frac{7}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$3$ .

$\frac{6 + 1}{3} \div \frac{7}{9}$

Step 1.2.4.2

Add

$6$ and

$1$ .

$\frac{7}{3} \div \frac{7}{9}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{3} \cdot \frac{9}{7}$

Step 3

Cancel the common factor of

$7$ .

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Step 3.1

Cancel the common factor.

$\frac{7}{3} \cdot \frac{9}{7}$

Step 3.2

Rewrite the expression.

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

Step 4

Cancel the common factor of

$3$ .

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Step 4.1

Factor

$3$ out of

$9$ .

$\frac{1}{3} \cdot (3 (3))$

Step 4.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 3)$

Step 4.3

Rewrite the expression.

$3$