Solution: 3 37/37 as a decimal is 4
Methods
First step – Making the fraction improper:
The first step to changing 3 37/37 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 37 and add its product to 37 in the numerator to get: 148/37. Now we will attempt to convert 148/37 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 148 by the denominator 37 (which you can enter in any calculator):
148 (numerator) ÷ 37 (denominator) = 4
And finally, you get 4 as your answer when you convert 3 37/37 (or 148/37) 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 25 1/6 as a decimal?
What is 2 35/23 as a decimal?
What is 9 57/8 as a decimal?
What is 1 90/49 as a decimal?