Basic Math Examples

$- \frac{3}{7} \div (- 2 \frac{1}{7})$

Step 1

Convert $2 \frac{1}{7}$ to an improper fraction.

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Step 1.1

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

$- \frac{3}{7} \div (- (2 + \frac{1}{7}))$

Step 1.2

Add $2$ and $\frac{1}{7}$ .

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Step 1.2.1

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

$- \frac{3}{7} \div (- (2 \cdot \frac{7}{7} + \frac{1}{7}))$

Step 1.2.2

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

$- \frac{3}{7} \div (- (\frac{2 \cdot 7}{7} + \frac{1}{7}))$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{3}{7} \div (- \frac{2 \cdot 7 + 1}{7})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $7$ .

$- \frac{3}{7} \div (- \frac{14 + 1}{7})$

Step 1.2.4.2

Add $14$ and $1$ .

$- \frac{3}{7} \div (- \frac{15}{7})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{7} (- \frac{7}{15})$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Move the leading negative in $- \frac{3}{7}$ into the numerator.

$\frac{- 3}{7} (- \frac{7}{15})$

Step 3.2

Move the leading negative in $- \frac{7}{15}$ into the numerator.

$\frac{- 3}{7} \cdot \frac{- 7}{15}$

Step 3.3

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{7} \cdot \frac{- 7}{15}$

Step 3.4

Factor $3$ out of $15$ .

$\frac{3 \cdot - 1}{7} \cdot \frac{- 7}{3 \cdot 5}$

Step 3.5

Cancel the common factor.

$\frac{3 \cdot - 1}{7} \cdot \frac{- 7}{3 \cdot 5}$

Step 3.6

Rewrite the expression.

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

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Factor $7$ out of $- 7$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$- \frac{- 1}{5}$

Step 5

Move the negative in front of the fraction.

$- - \frac{1}{5}$

Step 6

Multiply $- - \frac{1}{5}$ .

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Step 6.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{5})$

Step 6.2

Multiply $\frac{1}{5}$ by $1$ .

$\frac{1}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5}$

Decimal Form:

$0.2$