Algebra Examples

$2.5 + 4 (\frac{3}{4} a - 5) - 9.5$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Combine $\frac{3}{4}$ and $a$ .

$2.5 + 4 (\frac{3 a}{4} - 5) - 9.5$

Step 1.2

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$2.5 + 4 (\frac{3 a}{4} - 5 \cdot \frac{4}{4}) - 9.5$

Step 1.3

Combine $- 5$ and $\frac{4}{4}$ .

$2.5 + 4 (\frac{3 a}{4} + \frac{- 5 \cdot 4}{4}) - 9.5$

Step 1.4

Combine the numerators over the common denominator.

$2.5 + 4 \frac{3 a - 5 \cdot 4}{4} - 9.5$

Step 1.5

Multiply $- 5$ by $4$ .

$2.5 + 4 \frac{3 a - 20}{4} - 9.5$

Step 1.6

Cancel the common factor of $4$ .

Tap for more steps...

Step 1.6.1

Cancel the common factor.

$2.5 + 4 \frac{3 a - 20}{4} - 9.5$

Step 1.6.2

Rewrite the expression.

$2.5 + 3 a - 20 - 9.5$

Step 2

Simplify by subtracting numbers.

Tap for more steps...

Step 2.1

Subtract $20$ from $2.5$ .

$3 a - 17.5 - 9.5$

Step 2.2

Subtract $9.5$ from $- 17.5$ .

$3 a - 27$