Solution: 4 5/36 as a decimal is 4.14
Methods
First step – Making the fraction improper:
The first step to changing 4 5/36 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 36 and add its product to 5 in the numerator to get: 149/36. Now we will attempt to convert 149/36 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 149 by the denominator 36 (which you can enter in any calculator):
149 (numerator) ÷ 36 (denominator) = 4.14
And finally, you get 4.14 as your answer when you convert 4 5/36 (or 149/36) 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 3/49 as a decimal?
What is 1 95/43 as a decimal?
What is 3 29/38 as a decimal?
What is 5 52/17 as a decimal?