# Find closest fraction to another fraction

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

## Homework Statement

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

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

## 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.