Q. Simplify. Express your answer as a single fraction in simplest form. 54+c
Identify Terms: Identify the terms in the expression that need to be combined into a single fraction.We have the expression 54+c. To combine these into a single fraction, we need to express c as a fraction with a common denominator of 5.
Express c as Fraction: Express c as a fraction with the denominator 5. We can write c as 1c, and to get the common denominator of 5, we multiply both the numerator and the denominator by 5. This gives us 1×5c×5 which simplifies to 55c.
Combine Fractions: Combine the two fractions with the common denominator.Now we have 54+55c. Since they have the same denominator, we can add the numerators together while keeping the denominator the same.This gives us 5(4+5c).
Check for Simplification: Check if the resulting fraction can be simplified further.The fraction (4+5c)/5 is already in its simplest form because 4+5c cannot be factored any further to cancel out with the denominator 5.
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