# Math Help - Converting Fractions

1. ## Converting Fractions

Hi all, trying to convert some fractions and i'm a bit stuck as to how to do it.
Say i have this fraction: 135/1366
And i want to convert it to a fraction of something on 50. i.e x/50

Thanks for your help, first post!

Regards
jake

2. You have to find a number that is a factor of both 135 and 1366.

Can you think of any?

3. You can construct an equation for that.

$\frac{135}{1366} = \frac{x}{50}$

Solve for x, the numerator of the fraction. To to this, multiply every term by 50, like this:

$\frac{135}{1366} \times 50 = \frac{x}{50} \times 50$

$\frac{135}{1366} \times 50 = x$

You can simplify x now