What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a denominator that is the least common denominator of 2/15 and 4/9?
Mathematics
ashawna4000
Question
What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c2115,419
denominator that is the least common denominator of 2/15 and 4/9?
45
c2115,419
1 Answer

1. User Answers sqdancefan
Answer:
6/45 and 20/45
Stepbystep explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
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To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.