Basic Math Examples

- \frac{3}{7} \cdot \frac{5}{6}

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

Step 1

Cancel the common factor of

3

$3$ .

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Step 1.1

Move the leading negative in

- \frac{3}{7}

$- \frac{3}{7}$ into the numerator.

\frac{- 3}{7} \cdot \frac{5}{6}

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

Step 1.2

Factor

3

$3$ out of

- 3

$- 3$ .

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

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

Step 1.3

Factor

3

$3$ out of

6

$6$ .

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

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

Step 1.4

Cancel the common factor.

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

Step 1.5

Rewrite the expression.

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

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

Step 2

Multiply

$\frac{- 1}{7}$ by

$\frac{5}{2}$ .

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

Step 3

Simplify the expression.

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Step 3.1

Multiply

$- 1$ by

$5$ .

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

Step 3.2

Multiply

$7$ by

$2$ .

$\frac{- 5}{14}$

Step 3.3

Move the negative in front of the fraction.

$- \frac{5}{14}$

$- \frac{5}{14}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{14}$

Decimal Form:

$- 0.3\overline{571428}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$