Pre-Algebra Examples

$(\frac{3}{25}) (- \frac{5}{4}) (\frac{21}{6}) (- \frac{8}{7})$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$\frac{3}{25} \cdot \frac{- 5}{4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 1.2

Factor $5$ out of $25$ .

$\frac{3}{5 (5)} \cdot \frac{- 5}{4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 1.3

Factor $5$ out of $- 5$ .

$\frac{3}{5 \cdot 5} \cdot \frac{5 \cdot - 1}{4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 1.4

Cancel the common factor.

$\frac{3}{5 \cdot 5} \cdot \frac{5 \cdot - 1}{4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 1.5

Rewrite the expression.

$\frac{3}{5} \cdot \frac{- 1}{4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 2

Multiply $\frac{3}{5}$ by $\frac{- 1}{4}$ .

$\frac{3 \cdot - 1}{5 \cdot 4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 3

Multiply.

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Step 3.1

Multiply $3$ by $- 1$ .

$\frac{- 3}{5 \cdot 4} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 3.2

Multiply $5$ by $4$ .

$\frac{- 3}{20} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{20} \cdot \frac{21}{6} \cdot (- \frac{8}{7})$

Step 4.2

Factor $3$ out of $6$ .

$\frac{3 \cdot - 1}{20} \cdot \frac{21}{3 \cdot 2} \cdot (- \frac{8}{7})$

Step 4.3

Cancel the common factor.

$\frac{3 \cdot - 1}{20} \cdot \frac{21}{3 \cdot 2} \cdot (- \frac{8}{7})$

Step 4.4

Rewrite the expression.

$\frac{- 1}{20} \cdot \frac{21}{2} \cdot (- \frac{8}{7})$

Step 5

Multiply $\frac{- 1}{20}$ by $\frac{21}{2}$ .

$\frac{- 1 \cdot 21}{20 \cdot 2} \cdot (- \frac{8}{7})$

Step 6

Multiply.

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Step 6.1

Multiply $- 1$ by $21$ .

$\frac{- 21}{20 \cdot 2} \cdot (- \frac{8}{7})$

Step 6.2

Multiply $20$ by $2$ .

$\frac{- 21}{40} \cdot (- \frac{8}{7})$

Step 7

Cancel the common factor of $7$ .

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Step 7.1

Move the leading negative in $- \frac{8}{7}$ into the numerator.

$\frac{- 21}{40} \cdot \frac{- 8}{7}$

Step 7.2

Factor $7$ out of $- 21$ .

$\frac{7 (- 3)}{40} \cdot \frac{- 8}{7}$

Step 7.3

Cancel the common factor.

$\frac{7 \cdot - 3}{40} \cdot \frac{- 8}{7}$

Step 7.4

Rewrite the expression.

$\frac{- 3}{40} \cdot - 8$

Step 8

Cancel the common factor of $8$ .

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Step 8.1

Factor $8$ out of $40$ .

$\frac{- 3}{8 (5)} \cdot - 8$

Step 8.2

Factor $8$ out of $- 8$ .

$\frac{- 3}{8 \cdot 5} \cdot (8 \cdot - 1)$

Step 8.3

Cancel the common factor.

$\frac{- 3}{8 \cdot 5} \cdot (8 \cdot - 1)$

Step 8.4

Rewrite the expression.

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

Step 9

Combine $\frac{- 3}{5}$ and $- 1$ .

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

Step 10

Multiply $- 3$ by $- 1$ .

$\frac{3}{5}$

Step 11

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$