Basic Math Examples

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

$60 \div 1 \frac{2}{3}$

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.

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

$60 \div (1 + \frac{2}{3})$

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.

60 \div (\frac{3}{3} + \frac{2}{3})

$60 \div (\frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine the numerators over the common denominator.

60 \div \frac{3 + 2}{3}

$60 \div \frac{3 + 2}{3}$

Step 1.2.3

Add

3

$3$ and

2

$2$ .

60 \div \frac{5}{3}

$60 \div \frac{5}{3}$

60 \div \frac{5}{3}

$60 \div \frac{5}{3}$

60 \div \frac{5}{3}

$60 \div \frac{5}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

60 (\frac{3}{5})

$60 (\frac{3}{5})$

Step 3

Cancel the common factor of

5

$5$ .

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Step 3.1

Factor

5

$5$ out of

60

$60$ .

5 (12) \frac{3}{5}

$5 (12) \frac{3}{5}$

Step 3.2

Cancel the common factor.

$5 \cdot 12 \frac{3}{5}$

Step 3.3

Rewrite the expression.

$12 \cdot 3$

Step 4

Multiply

$12$ by

$3$ .

$36$