Basic Math Examples

$16 \div 5 \frac{1}{3}$

Step 1

Convert

$5 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

$16 \div (5 + \frac{1}{3})$

Step 1.2

Add

$5$ and

$\frac{1}{3}$ .

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Step 1.2.1

To write

$5$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$16 \div (5 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

$5$ and

$\frac{3}{3}$ .

$16 \div (\frac{5 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$16 \div \frac{5 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$5$ by

$3$ .

$16 \div \frac{15 + 1}{3}$

Step 1.2.4.2

Add

$15$ and

$1$ .

$16 \div \frac{16}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$16 (\frac{3}{16})$

Step 3

Cancel the common factor of

$16$ .

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Step 3.1

Cancel the common factor.

$16 (\frac{3}{16})$

Step 3.2

Rewrite the expression.

$3$