Solution: 2 28/19 as a decimal is 3.47
Methods
First step – Making the fraction improper:
The first step to changing 2 28/19 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 19 and add its product to 28 in the numerator to get: 66/19. Now we will attempt to convert 66/19 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 66 by the denominator 19 (which you can enter in any calculator):
66 (numerator) ÷ 19 (denominator) = 3.47
And finally, you get 3.47 as your answer when you convert 2 28/19 (or 66/19) 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:
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