Solution: 6 18/19 as a decimal is 6.95
Methods
First step – Making the fraction improper:
The first step to changing 6 18/19 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 19 and add its product to 18 in the numerator to get: 132/19. Now we will attempt to convert 132/19 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 132 by the denominator 19 (which you can enter in any calculator):
132 (numerator) ÷ 19 (denominator) = 6.95
And finally, you get 6.95 as your answer when you convert 6 18/19 (or 132/19) 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 6 1/25 as a decimal?
What is 4 19/22 as a decimal?
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What is 4 28/26 as a decimal?