Here are two fractions, 2 3 </mfrac> , 7 8 </mfrac> , which of these fra

Zion Wheeler

Zion Wheeler

Answered question

2022-06-25

Here are two fractions, 2 3 , 7 8 , which of these fractions are closer to 3 4 ?
I've been throwing this question around my family. No one has a clue, therefore can someone help?
I'm pretty sure this will be easy to do

Answer & Explanation

Donavan Mack

Donavan Mack

Beginner2022-06-26Added 24 answers

Calculus suggestion is straight on the money: write the three fractions involved in this problem with a common denominator, say 24:
2 3 = 16 24 7 8 = 21 24 3 4 = 18 24
Well, so which fraction is the closest one to the red one and why? Complete the reasoning.
taghdh9

taghdh9

Beginner2022-06-27Added 6 answers

The distance between real numbers x and y is | x y | . So the distance from 2 3 to 3 4 is
| 2 3 3 4 | = | 8 12 9 12 | = 1 12 .
And the distance from 7 8 to 3 4 is
| 7 8 3 4 | = | 7 8 6 8 | = 1 8 .
Since 1 12 < 1 8 , then 2 3 is closer to 3 4 than 7 8 is.

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