How do you write 95% as a fraction?

1 Answer

#19/20#

Explanation:

We can work this problem in a few ways - let me show you one:

#95%=0.95#

We can always divide a number by 1 (anything divided by 1 is that same thing), so:

#0.95=0.95/1#

Technically, it's now a fraction and we could be done (if you have a math teacher with a sense of humour you could try it but your teacher will probably rephrase the question so that we have to go on...)

The thing your teacher won't like is the decimal in the numerator. So let's get rid of it. To do so, we can use a clever use of the number 1 to multiply it out:

#0.95/1xx(1)=0.95/1xx100/100=95/100#

We now have a better looking fraction - but we need to reduce it to least terms. To do that, let's find terms we can cancel:

#95/100=(19xx5)/(20xx5)=19/20xx5/5=19/20xx1=19/20#

19 is prime so it can't be reduced any more - and so we're done!