Algebra Examples

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

Step 1

To write $- \frac{3}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{3}{2} \cdot \frac{4}{4} - \frac{3}{8}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{3}{2}$ by $\frac{4}{4}$ .

$- \frac{3 \cdot 4}{2 \cdot 4} - \frac{3}{8}$

Step 2.2

Multiply $2$ by $4$ .

$- \frac{3 \cdot 4}{8} - \frac{3}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 4 - 3}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 3$ by $4$ .

$\frac{- 12 - 3}{8}$

Step 4.2

Subtract $3$ from $- 12$ .

$\frac{- 15}{8}$

Step 5

Move the negative in front of the fraction.

$- \frac{15}{8}$