Solution: 6 34/16 as a decimal is 8.13
Methods
First step – Making the fraction improper:
The first step to changing 6 34/16 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 16 and add its product to 34 in the numerator to get: 130/16. Now we will attempt to convert 130/16 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 130 by the denominator 16 (which you can enter in any calculator):
130 (numerator) ÷ 16 (denominator) = 8.13
And finally, you get 8.13 as your answer when you convert 6 34/16 (or 130/16) 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 31/33 as a decimal?
What is 3 35/31 as a decimal?
What is 4 9/34 as a decimal?
What is 7 2/19 as a decimal?