Ordering an even and odd fraction that are close We know that 1 <mrow class="MJX-TeXAtom-ORD

Mary Gonzales

Mary Gonzales

Answered question

2022-06-02

Ordering an even and odd fraction that are close
We know that 1 / 4 < 5 / 11 < 1 / 2
I did it this way from small to large:
1 3 4 3 = 3 12
5 11
1 6 2 6 = 6 12
It is hard for me to decide between 5/11 and 6/12 without a calculator. Is there an easier way to compare them?

Answer & Explanation

Amanda Tate

Amanda Tate

Beginner2022-06-03Added 3 answers

Multiply all the numbers by the least common multiple of the denominators - 44, and you get the inequality:
11 < 20 < 22
Ologqnhs6

Ologqnhs6

Beginner2022-06-04Added 1 answers

This answer is very similar to multiplying all three fractions by the least common denominator, but simply write each fraction so they all have a common denominator!
The least common multiple of 4, 11, and 2 is 44 so multiply the first fraction by 11 over 11, multiply the second fraction by 4 over 4, and multiply the third fraction by 22 over 22. Now you are specifically still comparing the actual fractions (via equivalent fractions).
1 4 × 11 11 = 11 44
5 11 × 4 4 = 20 44
1 2 × 22 22 = 22 44

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