Solution: 4 9/33 as a decimal is 4.27
Methods
First step – Making the fraction improper:
The first step to changing 4 9/33 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 33 and add its product to 9 in the numerator to get: 141/33. Now we will attempt to convert 141/33 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 141 by the denominator 33 (which you can enter in any calculator):
141 (numerator) ÷ 33 (denominator) = 4.27
And finally, you get 4.27 as your answer when you convert 4 9/33 (or 141/33) 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 6 6/22 as a decimal?
What is 15 1/10 as a decimal?
What is 3 1/50 as a decimal?
What is 15 27/8 as a decimal?