Evaluate (1-5(a-1))/24

$\frac{1 - 5 (a - 1)}{24}$

Step 1

Simplify the numerator.

Apply the distributive property.

$\frac{1 - 5 a - 5 \cdot - 1}{24}$

Multiply $- 5$ by $- 1$ .

$\frac{1 - 5 a + 5}{24}$

Add $1$ and $5$ .

$\frac{- 5 a + 6}{24}$

$\frac{- 5 a + 6}{24}$

Step 2

Simplify with factoring out.

Factor $- 1$ out of $- 5 a$ .

$\frac{- (5 a) + 6}{24}$

Rewrite $6$ as $- 1 (- 6)$ .

$\frac{- (5 a) - 1 (- 6)}{24}$

Factor $- 1$ out of $- (5 a) - 1 (- 6)$ .

$\frac{- (5 a - 6)}{24}$

Simplify the expression.

Rewrite $- (5 a - 6)$ as $- 1 (5 a - 6)$ .

$\frac{- 1 (5 a - 6)}{24}$

Move the negative in front of the fraction.

$- \frac{5 a - 6}{24}$

$- \frac{5 a - 6}{24}$

$- \frac{5 a - 6}{24}$

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