Basic Math Examples

$8 \frac{2}{5} \div 7$

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.

$(8 + \frac{2}{5}) \div 7$

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 $\frac{5}{5}$ .

$(8 \cdot \frac{5}{5} + \frac{2}{5}) \div 7$

Step 1.2.2

Combine $8$ and $\frac{5}{5}$ .

$(\frac{8 \cdot 5}{5} + \frac{2}{5}) \div 7$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 5 + 2}{5} \div 7$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $8$ by $5$ .

$\frac{40 + 2}{5} \div 7$

Step 1.2.4.2

Add $40$ and $2$ .

$\frac{42}{5} \div 7$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{42}{5}}{7}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{42}{5} \cdot \frac{1}{7}$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Factor $7$ out of $42$ .

$\frac{7 (6)}{5} \cdot \frac{1}{7}$

Step 4.2

Cancel the common factor.

$\frac{7 \cdot 6}{5} \cdot \frac{1}{7}$

Step 4.3

Rewrite the expression.

$\frac{6}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{5}$

Decimal Form:

$1.2$

Mixed Number Form:

$1 \frac{1}{5}$