Solution: 3 4/43 as a decimal is 3.09
Methods
First step – Making the fraction improper:
The first step to changing 3 4/43 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 43 and add its product to 4 in the numerator to get: 133/43. Now we will attempt to convert 133/43 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 133 by the denominator 43 (which you can enter in any calculator):
133 (numerator) ÷ 43 (denominator) = 3.09
And finally, you get 3.09 as your answer when you convert 3 4/43 (or 133/43) 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 1 100/46 as a decimal?
What is 7 4/20 as a decimal?
What is 4 21/30 as a decimal?
What is 4 8/35 as a decimal?