Basic Math Examples

$(- \frac{1}{3}) \cdot 2 \div \frac{7}{3} \cdot - 1 \div \frac{6}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$(- \frac{1}{3}) \cdot 2 \div \frac{7}{3} \cdot - 1 \frac{5}{6}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Multiply $2$ by $- 1$ .

$- 2 (\frac{1}{3}) \div \frac{7}{3} \cdot - 1 \frac{5}{6}$

Step 2.2

Combine $- 2$ and $\frac{1}{3}$ .

$\frac{- 2}{3} \div \frac{7}{3} \cdot - 1 \frac{5}{6}$

Step 3

Move the negative in front of the fraction.

$- \frac{2}{3} \div \frac{7}{3} \cdot - 1 \frac{5}{6}$

Step 4

To divide by a fraction, multiply by its reciprocal.

$- \frac{2}{3} \cdot \frac{3}{7} \cdot - 1 \frac{5}{6}$

Step 5

Cancel the common factor of $3$ .

Tap for more steps...

Step 5.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{- 2}{3} \cdot \frac{3}{7} \cdot - 1 \frac{5}{6}$

Step 5.2

Cancel the common factor.

$\frac{- 2}{3} \cdot \frac{3}{7} \cdot - 1 \frac{5}{6}$

Step 5.3

Rewrite the expression.

$- 2 (\frac{1}{7}) \cdot - 1 \frac{5}{6}$

Step 6

Combine $- 2$ and $\frac{1}{7}$ .

$\frac{- 2}{7} \cdot - 1 \frac{5}{6}$

Step 7

Move the negative in front of the fraction.

$- \frac{2}{7} \cdot - 1 \frac{5}{6}$

Step 8

Multiply $- \frac{2}{7} \cdot - 1$ .

Tap for more steps...

Step 8.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{2}{7}) \frac{5}{6}$

Step 8.2

Multiply $\frac{2}{7}$ by $1$ .

$\frac{2}{7} \cdot \frac{5}{6}$

Step 9

Cancel the common factor of $2$ .

Tap for more steps...

Step 9.1

Factor $2$ out of $6$ .

$\frac{2}{7} \cdot \frac{5}{2 (3)}$

Step 9.2

Cancel the common factor.

$\frac{2}{7} \cdot \frac{5}{2 \cdot 3}$

Step 9.3

Rewrite the expression.

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

Step 10

Multiply $\frac{1}{7}$ by $\frac{5}{3}$ .

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

Step 11

Multiply $7$ by $3$ .

$\frac{5}{21}$

Step 12

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{21}$

Decimal Form:

$0.\overline{238095}$