Basic Math Examples

$42 \div 8 \frac{2}{5}$

Step 1

Convert

$8 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$42 \div (8 + \frac{2}{5})$

Step 1.2

Add

$8$ and

$\frac{2}{5}$ .

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Step 1.2.1

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$42 \div (8 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine

$8$ and

$\frac{5}{5}$ .

$42 \div (\frac{8 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$42 \div \frac{8 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$8$ by

$5$ .

$42 \div \frac{40 + 2}{5}$

Step 1.2.4.2

Add

$40$ and

$2$ .

$42 \div \frac{42}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$42 (\frac{5}{42})$

Step 3

Cancel the common factor of

$42$ .

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Step 3.1

Cancel the common factor.

$42 (\frac{5}{42})$

Step 3.2

Rewrite the expression.

$5$