Trigonometry Examples

$2 (- \frac{3}{4}) - \frac{5}{8}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $2$ .

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Step 1.1.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$2 (\frac{- 3}{4}) - \frac{5}{8}$

Step 1.1.2

Factor $2$ out of $4$ .

$2 \frac{- 3}{2 (2)} - \frac{5}{8}$

Step 1.1.3

Cancel the common factor.

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

Step 1.1.4

Rewrite the expression.

$\frac{- 3}{2} - \frac{5}{8}$

Step 1.2

Move the negative in front of the fraction.

$- \frac{3}{2} - \frac{5}{8}$

Step 2

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

$- \frac{3}{2} \cdot \frac{4}{4} - \frac{5}{8}$

Step 3

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

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Step 3.1

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

$- \frac{3 \cdot 4}{2 \cdot 4} - \frac{5}{8}$

Step 3.2

Multiply $2$ by $4$ .

$- \frac{3 \cdot 4}{8} - \frac{5}{8}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 4 - 5}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 3$ by $4$ .

$\frac{- 12 - 5}{8}$

Step 5.2

Subtract $5$ from $- 12$ .

$\frac{- 17}{8}$

Step 6

Move the negative in front of the fraction.

$- \frac{17}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{8}$

Decimal Form:

$- 2.125$

Mixed Number Form:

$- 2 \frac{1}{8}$