Pre-Algebra Examples

$\frac{- 3}{10} \cdot \frac{15}{24} - \frac{3}{16}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Factor $3$ out of $- 3$ .

$\frac{3 (- 1)}{10} \cdot \frac{15}{24} - \frac{3}{16}$

Step 1.1.2

Factor $3$ out of $24$ .

$\frac{3 \cdot - 1}{10} \cdot \frac{15}{3 \cdot 8} - \frac{3}{16}$

Step 1.1.3

Cancel the common factor.

$\frac{3 \cdot - 1}{10} \cdot \frac{15}{3 \cdot 8} - \frac{3}{16}$

Step 1.1.4

Rewrite the expression.

$\frac{- 1}{10} \cdot \frac{15}{8} - \frac{3}{16}$

Step 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Factor $5$ out of $10$ .

$\frac{- 1}{5 (2)} \cdot \frac{15}{8} - \frac{3}{16}$

Step 1.2.2

Factor $5$ out of $15$ .

$\frac{- 1}{5 \cdot 2} \cdot \frac{5 \cdot 3}{8} - \frac{3}{16}$

Step 1.2.3

Cancel the common factor.

$\frac{- 1}{5 \cdot 2} \cdot \frac{5 \cdot 3}{8} - \frac{3}{16}$

Step 1.2.4

Rewrite the expression.

$\frac{- 1}{2} \cdot \frac{3}{8} - \frac{3}{16}$

Step 1.3

Multiply $\frac{- 1}{2}$ by $\frac{3}{8}$ .

$\frac{- 1 \cdot 3}{2 \cdot 8} - \frac{3}{16}$

Step 1.4

Multiply $- 1$ by $3$ .

$\frac{- 3}{2 \cdot 8} - \frac{3}{16}$

Step 1.5

Multiply $2$ by $8$ .

$\frac{- 3}{16} - \frac{3}{16}$

Step 1.6

Move the negative in front of the fraction.

$- \frac{3}{16} - \frac{3}{16}$

Step 2

Simplify terms.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{- 3 - 3}{16}$

Step 2.2

Subtract $3$ from $- 3$ .

$\frac{- 6}{16}$

Step 2.3

Cancel the common factor of $- 6$ and $16$ .

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Step 2.3.1

Factor $2$ out of $- 6$ .

$\frac{2 (- 3)}{16}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Factor $2$ out of $16$ .

$\frac{2 \cdot - 3}{2 \cdot 8}$

Step 2.3.2.2

Cancel the common factor.

$\frac{2 \cdot - 3}{2 \cdot 8}$

Step 2.3.2.3

Rewrite the expression.

$\frac{- 3}{8}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{3}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{8}$

Decimal Form:

$- 0.375$