Basic Math Examples

1 \frac{2}{3} \div \frac{1}{6}

$1 \frac{2}{3} \div \frac{1}{6}$

Step 1

Convert

1 \frac{2}{3}

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

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Step 1.1

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

(1 + \frac{2}{3}) \div \frac{1}{6}

$(1 + \frac{2}{3}) \div \frac{1}{6}$

Step 1.2

Add

1

$1$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{3}{3} + \frac{2}{3}) \div \frac{1}{6}

$(\frac{3}{3} + \frac{2}{3}) \div \frac{1}{6}$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{3 + 2}{3} \div \frac{1}{6}

$\frac{3 + 2}{3} \div \frac{1}{6}$

Step 1.2.3

Add

3

$3$ and

2

$2$ .

\frac{5}{3} \div \frac{1}{6}

$\frac{5}{3} \div \frac{1}{6}$

\frac{5}{3} \div \frac{1}{6}

$\frac{5}{3} \div \frac{1}{6}$

\frac{5}{3} \div \frac{1}{6}

$\frac{5}{3} \div \frac{1}{6}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{5}{3} \cdot 6

$\frac{5}{3} \cdot 6$

Step 3

Cancel the common factor of

3

$3$ .

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Step 3.1

Factor

3

$3$ out of

6

$6$ .

\frac{5}{3} \cdot (3 (2))

$\frac{5}{3} \cdot (3 (2))$

Step 3.2

Cancel the common factor.

$\frac{5}{3} \cdot (3 \cdot 2)$

Step 3.3

Rewrite the expression.

$5 \cdot 2$

Step 4

Multiply

$5$ by

$2$ .

$10$