Solution: 3 94/17 as a decimal is 8.53
Methods
First step – Making the fraction improper:
The first step to changing 3 94/17 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 17 and add its product to 94 in the numerator to get: 145/17. Now we will attempt to convert 145/17 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 145 by the denominator 17 (which you can enter in any calculator):
145 (numerator) ÷ 17 (denominator) = 8.53
And finally, you get 8.53 as your answer when you convert 3 94/17 (or 145/17) 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 2 16/46 as a decimal?
What is 2 45/50 as a decimal?
What is 2 68/25 as a decimal?
What is 3 17/30 as a decimal?