# How do you convert 87.5% as a fraction and a decimal?

##### 2 Answers

There is a very simple trick to converting percentages to decimals and fractions.

When you are given a

To change a

So, converting that into a fraction, you get:

#87.5/100#

And since you don't want decimals in your fractions, you can change that to:

#875/1000#

Now, simply reduce the fraction by dividing both the numerator and the denominator by 5:

#(875 -: 5)/(1000 -: 5)# =#175/200#

#(175 -: 5)/(200 -: 5)# =#35/40#

#(35 -: 5)/(40 -: 5)# =#7/8#

Hope that helped!

Fraction =

Decimal =

#### Explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won't stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

**What**

**Percent / Percentage / %**

**of**

**is**

I'll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

**What**) /100 ( **percent**) **of**) 200 **is**) 5

In a refined form,

Calculate x. On calculating, x comes out to be

So, **2.5** percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

**Disregard the next section if you know how to convert a decimal to a fraction**

**Section Starts**

First, I'll write the decimal form. Whenever you divide by a number that is in form of 1 followed by **2** zeroes), you should shift the decimal point to the **left** side by **n** places.

In this case, shift decimal point in 87.5 to the left by **2** places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I'll teach you how to convert a decimal into a fraction.

Here, you see 2 types of "numbers". One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the **right** side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the "digits" we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

**Section Ends**