Solution: 4 6/35 as a decimal is 4.17
Methods
First step – Making the fraction improper:
The first step to changing 4 6/35 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 35 and add its product to 6 in the numerator to get: 146/35. Now we will attempt to convert 146/35 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 146 by the denominator 35 (which you can enter in any calculator):
146 (numerator) ÷ 35 (denominator) = 4.17
And finally, you get 4.17 as your answer when you convert 4 6/35 (or 146/35) 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 1 30/42 as a decimal?
What is 6 38/13 as a decimal?
What is 3 24/16 as a decimal?
What is 1 19/40 as a decimal?