Solution: 1 81/28 as a decimal is 3.89
Methods
First step – Making the fraction improper:
The first step to changing 1 81/28 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 28 and add its product to 81 in the numerator to get: 109/28. Now we will attempt to convert 109/28 to a decimal using the following method:
Explanation using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 109 by the denominator 28 (which you can enter in any calculator):
109 (numerator) ÷ 28 (denominator) = 3.89
And finally, you get 3.89 as your answer when you convert 1 81/28 (or 109/28) to a decimal.
Practice more conversion problems
All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:
What is 3 21/21 as a decimal?
What is 42 22/3 as a decimal?
What is 10 23/8 as a decimal?
What is 4 3/33 as a decimal?