asked 196k views
2 votes
Rename 5/6 and 14/15 using the least common denominator.

2 Answers

3 votes

Answer:

25/30 and 28/30

Explanation:

answer for the plato mastery test

answered
User Weisjohn
by
7.8k points
5 votes

Answer:

25/30 and 28/30

Explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

answered
User Daniil Loban
by
8.5k points

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