In the following exercises, simplify each fraction. Do not convert any

Isaiah Alsup

Isaiah Alsup

Answered question

2021-11-18

In the following exercises, simplify each fraction. Do not convert any improper fractions to mixed numbers.
15a15b

Answer & Explanation

Gladys Fasching

Gladys Fasching

Beginner2021-11-19Added 11 answers

Concept used:
1) A fraction is considered simplified if there are no common factors in the numerator and denominator.
a) The process of simplifying a fraction is called reducing the fraction.
b) For reducing the fraction, we use the equivalent fractions property in reverse.
We know that the equivalent fractions property is,
ab=acbc, where b0,c0 and a,b,c are numbers.
Now, the reverse form of equivalent fractions property is,
acbc=ab, where c is the common factor in the numerator and denominator.
Calculation:
We are the given fraction with 15a15b.
From the above concept:
Notice that 15 is factor of both 15a and 15b. 15a15b
Factor the numerator and denominator. a15b15
Remove the common factors. ab
Hence the simplified form of the given fraction 15a15b is, as follows: ab.

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