Converting Decimals to Fractions and Percentages

The processes for converting decimal numbers to fractions and percentages are both fairly simple, so we will demonstrate both on each of these examples here.

First, we have 0.35. To convert 0.35 to a fraction, we’ll write the two digits in here as the numerator, and we’ll take a look at the rightmost digit.

Mini-test: Converting Decimals to Fractions and Percentages 

Which of the following is 0.25 in fraction and percentage form?
A.
B.
C.
D.
E.
Which of the following is 0.5625 in fraction and percentage form?
A.
B.
C.
D.
E.
Which of the following is 0.625, 0.750, 0.875 in fraction order?
A.
B.
C.
D.
E.
Which of the following sequences is equivalent to:  0.7272, 3/7, and 44%?
A.
B.
C.
D.
E.
Which of the following pairs is equivalent to 0.7222?
A.
B.
C.
D.
E.

 

The next lesson for you: Review and Practice Test based on Part 2.

The following transcript is provided for your convenience.

The rightmost digit is two decimal places to the right of the decimal, so we’re going to write two zeroes in the denominator. So, we have 35/100. And this can be reduced by dividing both the top and the bottom by 5. 35/5 is 7, 100/5 is 20. So, this is equal to 7/20.
To convert a decimal to a percentage, all we have to do is move the decimal point two places to the right. So, 0.35 is equal to 35%.

In the second example, we have 0.215. Once again, we’ll write 215 as our numerator. The rightmost digit is three places to the right of the decimal, so we will write three zeroes in our denominator, 215/1000, we can divide top and bottom by 5, so 215/5 is equal to 43, and 1000/5 is equal to 200. So, this fraction is the same as 43/200.

To convert to a percentage, we can just move the decimal point two places to the right, so 0.215 is equal to 21.5%.

In this final example, we have 0.842. We will once again write these digits as our numerator. The rightmost digit is three places to the right of the decimal, so we’ll once again have three zeroes in our denominator, 842/1000, we can reduce by dividing top and bottom by 2. 842/2 is 421, and 1000/2 is 500. So, this fraction reduces to 421/500.

To convert to a percentage, once again, we’ll just move the decimal point two places to the right, so 0.842 is equal to 84.2%.

Check Also: