How to find fractional percentages

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GRE Quantitative Reasoning › How to find fractional percentages

Questions 1 - 6
1

What percentage of a solution is blood if it contains ml blood and ml water? Round to the nearest thousandth?

Explanation

First, you must find the total amount of solution. This is , or .

Now, the percentage of the solution that is blood can be represented:

, or

This is the same as % Rounded, it is %

2

Convert to a fraction.

Explanation

To convert percentages to fractions, take the value and divide by .

Let's get rid of the decimal by multiplying top and bottom by or moving the decimal places to the right and adding zeroes to the bottom.

Then reduce by dividing the bottom by to get .

3

Convert to a fraction.

Explanation

First convert the complex fraction into an improper fraction.

Multiply the number in front of the fraction with the denominator and then add that to the numerator.

Then to convert percentages to fractions, take the value and divide by .

4

What is the percentage increase of an account that began with a balance of and increased to ?

Explanation

Recall that the formula for percentage increase is:

, where is your ending value and is your starting value.

For our numbers, this would be:

Recall that to find a percentage from a decimal, you multiply by :

5

Lauren has finished of her homework.

Express her percent of homework finished as a fraction in simplest form.

Explanation

First write the percent as a decimal. To convert the decimal into a fraction, multiply the decimal by , then place that number over :

.

Then place over : .

Therefore,

.

Then, reduce the fraction to its lowest terms by dividing through by the greatest common factor of and , which is :

.

So, Lauren has finished of her homework.

6

Convert to a fraction.

Explanation

To convert percentages to fractions, take the value and divide it by .

Then simplify as follows.

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