Basic Math Examples

$- 2 \frac{4}{7} \div (- 3)$

Step 1

Convert $2 \frac{4}{7}$ to an improper fraction.

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Step 1.1

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

$- (2 + \frac{4}{7}) \div (- 3)$

Step 1.2

Add $2$ and $\frac{4}{7}$ .

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Step 1.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- (2 \cdot \frac{7}{7} + \frac{4}{7}) \div (- 3)$

Step 1.2.2

Combine $2$ and $\frac{7}{7}$ .

$- (\frac{2 \cdot 7}{7} + \frac{4}{7}) \div (- 3)$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{2 \cdot 7 + 4}{7} \div (- 3)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $7$ .

$- \frac{14 + 4}{7} \div (- 3)$

Step 1.2.4.2

Add $14$ and $4$ .

$- \frac{18}{7} \div (- 3)$

Step 2

Rewrite the division as a fraction.

$\frac{- \frac{18}{7}}{- 3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$- \frac{18}{7} \cdot \frac{1}{- 3}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Move the leading negative in $- \frac{18}{7}$ into the numerator.

$\frac{- 18}{7} \cdot \frac{1}{- 3}$

Step 4.2

Factor $3$ out of $- 18$ .

$\frac{3 (- 6)}{7} \cdot \frac{1}{- 3}$

Step 4.3

Factor $3$ out of $- 3$ .

$\frac{3 \cdot - 6}{7} \cdot \frac{1}{3 \cdot - 1}$

Step 4.4

Cancel the common factor.

$\frac{3 \cdot - 6}{7} \cdot \frac{1}{3 \cdot - 1}$

Step 4.5

Rewrite the expression.

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

Step 5

Multiply $\frac{- 6}{7}$ by $\frac{1}{- 1}$ .

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

Step 6

Multiply $7$ by $- 1$ .

$\frac{- 6}{- 7}$

Step 7

Dividing two negative values results in a positive value.

$\frac{6}{7}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{6}{7}$

Decimal Form:

$0.\overline{857142}$