Find closest fraction to another fraction

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Homework Help Overview

The problem involves finding which of several fractions is closest to the fraction 1/2. The fractions under consideration are 3/5, 7/10, and 11/20. The original poster expresses uncertainty about how to demonstrate their reasoning in the solution process.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss methods for comparing fractions, including converting them to decimal form and finding a common denominator. The original poster seeks guidance on how to show their working.

Discussion Status

Some participants have offered suggestions for approaches to take, such as dividing each fraction to compare their decimal values or using a common denominator. There is an ongoing exploration of these methods without a clear consensus on the best approach.

Contextual Notes

The original poster is required to show their working, which adds a layer of complexity to the problem. There may be assumptions about the level of mathematical understanding expected in this context.

KarlRixon
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I'm trying to teach myself maths and I'm stuck at this problem:

Homework Statement



Which of the following fractions is nearest to \frac{1}{2}?

You must show your working.

\frac{3}{5} \frac{7}{10} \frac{11}{20}

Homework Equations



The Attempt at a Solution



I know the answer is \frac{11}{20}, because it just is! What I don't know how to do is "show my working". I've tried searching for "find closest fraction to another fraction" but I can't seem to find the proper technique for calculating this. Any pointers will be gratefully received.
 
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Hi,
I guess you can show by dividing each fraction!
e.g., 3/5 =0.6 and compare the each fraction's result with 1/2=0.5
 
Last edited:
That makes sense! Thanks.
 
Alternatively put them all over the same common denominator.
 

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