Q. Simplify. Express your answer as a single fraction in simplest form. 57bc5−4b
Identify common denominator: Identify the common denominator for the fractions.Since 4b is not a fraction, we can write it as 14b to work with it as a fraction.Now we have 57bc5−14b.The common denominator between 5 and 1 is 5.
Rewrite with common denominator: Rewrite 14b with the common denominator 5. To do this, we multiply both the numerator and the denominator of 14b by 5. 14b×55=520b Now we have 57bc5−520b.
Combine fractions: Combine the fractions over the common denominator.Now that both fractions have the same denominator, we can combine them.(7bc5−20b)/5
Check for simplification: Check if the numerator can be simplified further.In the numerator 7bc5−20b, we can factor out a b.b(7c5−20)The fraction now is 5b(7c5−20).
Check for common factors: Check for any common factors between the numerator and the denominator that can be simplified.There are no common factors between b(7c5−20) and 5, so the fraction is already in its simplest form.
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