Solution: 6 3/19 as a decimal is 6.16
Methods
First step – Making the fraction improper:
The first step to changing 6 3/19 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 3 in the numerator to get: 117/19. Now we will attempt to convert 117/19 to a decimal using the following method:
Explanation using the division method:
One method to convert 117/19 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 117 by the denominator 19:
117 (numerator) ÷ 19 (denominator) = 6.16
And there you go! We got 6.16 as the answer when you convert 6 3/19 (or 117/19) to a decimal.
Practice more 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 12 3/9 as a decimal?
What is 5 15/23 as a decimal?
What is 4 15/33 as a decimal?
What is 4 64/8 as a decimal?