Question

Combine like terms to simplify the expression: -5.55-8.55c+4.35c−5.55−8.55c+4.35cminus, 5, point, 55, minus, 8, point, 55, c, plus, 4, point, 35, c

Answer 1

Question

Combine like terms to simplify the expression: -5.55 - 8.55c + 4.35c

Answer:

$\frac{3}{20}(28c - 37)$

Step-by-step explanation:

Given: -5.55 - 8.55c + 4.35c

Required: Simplify

We start by performing arithmetic operation on like terms

-5.55 - 8.55c + 4.35c becomes

-5.55 + 4.20c

Then we simplify further by converting decimals to fraction

$-\frac{555}{100} + \frac{420c}{100}$

Simplify by dividing the numerator and denominator by 5

$-\frac{111}{20} + \frac{84c}{20}$

$-\frac{3 * 37}{20} + \frac{3 * 28c}{20}$

Bring out similar factors

$\frac{3}{20}(-37 + 28c)$

Rearrange

$\frac{3}{20}(28c - 37)$

Hence, the expression -5.55 - 8.55c + 4.35c is equivalent to $\frac{3}{20}(28c - 37)$