Question
Combine like terms to simplify the expression: -5.55 - 8.55c + 4.35c
Answer:
[tex]\frac{3}{20}(28c - 37)[/tex]
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
[tex]-\frac{555}{100} + \frac{420c}{100}[/tex]
Simplify by dividing the numerator and denominator by 5
[tex]-\frac{111}{20} + \frac{84c}{20}[/tex]
[tex]-\frac{3 * 37}{20} + \frac{3 * 28c}{20}[/tex]
Bring out similar factors
[tex]\frac{3}{20}(-37 + 28c)[/tex]
Rearrange
[tex]\frac{3}{20}(28c - 37)[/tex]
Hence, the expression -5.55 - 8.55c + 4.35c is equivalent to [tex]\frac{3}{20}(28c - 37)[/tex]
