Precalculus Examples

$y = \frac{2}{5} - 15 - 4$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Write $- 15$ as a fraction with denominator $1$ .

$y = \frac{2}{5} + \frac{- 15}{1} - 4$

Step 1.2

Multiply $\frac{- 15}{1}$ by $\frac{5}{5}$ .

$y = \frac{2}{5} + \frac{- 15}{1} \cdot \frac{5}{5} - 4$

Step 1.3

Multiply $\frac{- 15}{1}$ by $\frac{5}{5}$ .

$y = \frac{2}{5} + \frac{- 15 \cdot 5}{5} - 4$

Step 1.4

Write $- 4$ as a fraction with denominator $1$ .

$y = \frac{2}{5} + \frac{- 15 \cdot 5}{5} + \frac{- 4}{1}$

Step 1.5

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

$y = \frac{2}{5} + \frac{- 15 \cdot 5}{5} + \frac{- 4}{1} \cdot \frac{5}{5}$

Step 1.6

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

$y = \frac{2}{5} + \frac{- 15 \cdot 5}{5} + \frac{- 4 \cdot 5}{5}$

Step 2

Combine the numerators over the common denominator.

$y = \frac{2 - 15 \cdot 5 - 4 \cdot 5}{5}$

Step 3

Simplify each term.

Tap for more steps...

Step 3.1

Multiply $- 15$ by $5$ .

$y = \frac{2 - 75 - 4 \cdot 5}{5}$

Step 3.2

Multiply $- 4$ by $5$ .

$y = \frac{2 - 75 - 20}{5}$

Step 4

Simplify the expression.

Tap for more steps...

Step 4.1

Subtract $75$ from $2$ .

$y = \frac{- 73 - 20}{5}$

Step 4.2

Subtract $20$ from $- 73$ .

$y = \frac{- 93}{5}$

Step 4.3

Move the negative in front of the fraction.

$y = - \frac{93}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{93}{5}$

Decimal Form:

$y = - 18.6$

Mixed Number Form:

$y = - 18 \frac{3}{5}$