Basic Math Examples

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

Step 1

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

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $14$ and $1$ .

$- \frac{3}{7} \div (- \frac{15}{14})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- \frac{3}{7} (- \frac{14}{15})$

Step 3

Cancel the common factor of $3$ .

Tap for more steps...

Step 3.1

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

$\frac{- 3}{7} (- \frac{14}{15})$

Step 3.2

Move the leading negative in $- \frac{14}{15}$ into the numerator.

$\frac{- 3}{7} \cdot \frac{- 14}{15}$

Step 3.3

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{7} \cdot \frac{- 14}{15}$

Step 3.4

Factor $3$ out of $15$ .

$\frac{3 \cdot - 1}{7} \cdot \frac{- 14}{3 \cdot 5}$

Step 3.5

Cancel the common factor.

$\frac{3 \cdot - 1}{7} \cdot \frac{- 14}{3 \cdot 5}$

Step 3.6

Rewrite the expression.

$\frac{- 1}{7} \cdot \frac{- 14}{5}$

Step 4

Cancel the common factor of $7$ .

Tap for more steps...

Step 4.1

Factor $7$ out of $- 14$ .

$\frac{- 1}{7} \cdot \frac{7 (- 2)}{5}$

Step 4.2

Cancel the common factor.

$\frac{- 1}{7} \cdot \frac{7 \cdot - 2}{5}$

Step 4.3

Rewrite the expression.

$- \frac{- 2}{5}$

Step 5

Move the negative in front of the fraction.

$- - \frac{2}{5}$

Step 6

Multiply $- - \frac{2}{5}$ .

Tap for more steps...

Step 6.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{5})$

Step 6.2

Multiply $\frac{2}{5}$ by $1$ .

$\frac{2}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$