Question

simplify. express your answer as a single fraction in simplest form.
$2 - \frac{c}{c - 7}$

Explanation:

Step1: Rewrite 2 as a fraction

To subtract the two terms, we need a common denominator. Rewrite 2 as a fraction with denominator \( c - 7 \). So, \( 2=\frac{2(c - 7)}{c - 7} \).

Step2: Subtract the fractions

Now we have \( \frac{2(c - 7)}{c - 7}-\frac{c}{c - 7} \). Since the denominators are the same, we subtract the numerators: \( \frac{2(c - 7)-c}{c - 7} \).

Step3: Simplify the numerator

Expand the numerator: \( 2(c - 7)-c = 2c-14 - c \). Combine like terms: \( 2c - c-14=c - 14 \).

Answer:

\( \frac{c - 14}{c - 7} \)