Basic Math Examples

$20 \div 1 \frac{6}{14} \cdot \frac{4}{21}$

Step 1

Convert $1 \frac{6}{14}$ to an improper fraction.

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Step 1.1

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

$20 \div (1 + \frac{6}{14}) \cdot \frac{4}{21}$

Step 1.2

Add $1$ and $\frac{6}{14}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$20 \div (\frac{14}{14} + \frac{6}{14}) \cdot \frac{4}{21}$

Step 1.2.2

Combine the numerators over the common denominator.

$20 \div \frac{14 + 6}{14} \cdot \frac{4}{21}$

Step 1.2.3

Add $14$ and $6$ .

$20 \div \frac{20}{14} \cdot \frac{4}{21}$

Step 2

Cancel the common factor of $20$ and $14$ .

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Step 2.1

Factor $2$ out of $20$ .

$20 \div \frac{2 (10)}{14} \cdot \frac{4}{21}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $14$ .

$20 \div \frac{2 \cdot 10}{2 \cdot 7} \cdot \frac{4}{21}$

Step 2.2.2

Cancel the common factor.

$20 \div \frac{2 \cdot 10}{2 \cdot 7} \cdot \frac{4}{21}$

Step 2.2.3

Rewrite the expression.

$20 \div \frac{10}{7} \cdot \frac{4}{21}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$20 (\frac{7}{10}) \cdot \frac{4}{21}$

Step 4

Cancel the common factor of $10$ .

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Step 4.1

Factor $10$ out of $20$ .

$10 (2) \frac{7}{10} \cdot \frac{4}{21}$

Step 4.2

Cancel the common factor.

$10 \cdot 2 \frac{7}{10} \cdot \frac{4}{21}$

Step 4.3

Rewrite the expression.

$2 \cdot 7 \cdot \frac{4}{21}$

Step 5

Multiply $2$ by $7$ .

$14 \cdot \frac{4}{21}$

Step 6

Cancel the common factor of $7$ .

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Step 6.1

Factor $7$ out of $14$ .

$7 (2) \cdot \frac{4}{21}$

Step 6.2

Factor $7$ out of $21$ .

$7 \cdot 2 \cdot \frac{4}{7 \cdot 3}$

Step 6.3

Cancel the common factor.

$7 \cdot 2 \cdot \frac{4}{7 \cdot 3}$

Step 6.4

Rewrite the expression.

$2 \cdot \frac{4}{3}$

Step 7

Combine $2$ and $\frac{4}{3}$ .

$\frac{2 \cdot 4}{3}$

Step 8

Multiply $2$ by $4$ .

$\frac{8}{3}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{3}$

Decimal Form:

$2.\overline{6}$

Mixed Number Form:

$2 \frac{2}{3}$