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

1 Answer
Jan 20, 2016

#11/8#

Explanation:

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#