How do you write ##137.5%## as a fraction?

##11/8##

We can write a percentage as a fraction by taking the percentage and dividing it by 100. In this case:

##137.5% = 137.5/100##

We want to simplify our fraction now, and the first step is to get rid of the decimals by multiplying both top and bottom by ##2##:

##= 275/200##

By looking at this fraction, you might notice that both ##275## and ##200## are divisible by ##5##, so let’s divide both by ##5##

##=55/40##

We notice again that ##55## and ##40## are divisible by ##5##, so we divide both by ##5## again

##=11/8##