# Find closest fraction to another fraction

1. Sep 20, 2010

### KarlRixon

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

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

3. 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.

2. Sep 20, 2010

### Rajini

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: Sep 20, 2010
3. Sep 20, 2010

### KarlRixon

That makes sense! Thanks.

4. Sep 20, 2010