Evaluate (3/8)(-7/3)(-20/49)

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

Cancel the common factor of $3$ .

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Cancel the common factor of $7$ .

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

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

Factor $7$ out of $- 7$ .

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

Factor $7$ out of $49$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $4$ .

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Factor $4$ out of $8$ .

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

Factor $4$ out of $- 20$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply.

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Multiply $- 1$ by $- 5$ .

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

Multiply $2$ by $7$ .

$\frac{5}{14}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{14}$

Decimal Form:

$0.3\overline{571428}$

Evaluate (3/8)(-7/3)(-20/49)

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