Basic Math Examples

$(\frac{3}{8}) (- \frac{7}{3}) (- \frac{20}{49})$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

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

$\frac{3}{8} \cdot \frac{- 7}{3} \cdot (- \frac{20}{49})$

Step 1.2

Cancel the common factor.

$\frac{3}{8} \cdot \frac{- 7}{3} \cdot (- \frac{20}{49})$

Step 1.3

Rewrite the expression.

$\frac{1}{8} \cdot - 7 \cdot (- \frac{20}{49})$

Step 2

Combine $\frac{1}{8}$ and $- 7$ .

$\frac{- 7}{8} \cdot (- \frac{20}{49})$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Move the leading negative in $- \frac{20}{49}$ into the numerator.

$\frac{- 7}{8} \cdot \frac{- 20}{49}$

Step 3.2

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{8} \cdot \frac{- 20}{49}$

Step 3.3

Factor $7$ out of $49$ .

$\frac{7 \cdot - 1}{8} \cdot \frac{- 20}{7 \cdot 7}$

Step 3.4

Cancel the common factor.

$\frac{7 \cdot - 1}{8} \cdot \frac{- 20}{7 \cdot 7}$

Step 3.5

Rewrite the expression.

$\frac{- 1}{8} \cdot \frac{- 20}{7}$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $8$ .

$\frac{- 1}{4 (2)} \cdot \frac{- 20}{7}$

Step 4.2

Factor $4$ out of $- 20$ .

$\frac{- 1}{4 \cdot 2} \cdot \frac{4 \cdot - 5}{7}$

Step 4.3

Cancel the common factor.

$\frac{- 1}{4 \cdot 2} \cdot \frac{4 \cdot - 5}{7}$

Step 4.4

Rewrite the expression.

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

Step 5

Multiply $\frac{- 1}{2}$ by $\frac{- 5}{7}$ .

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

Step 6

Multiply.

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Step 6.1

Multiply $- 1$ by $- 5$ .

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

Step 6.2

Multiply $2$ by $7$ .

$\frac{5}{14}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{14}$

Decimal Form:

$0.3\overline{571428}$