Q:

What is 2 109/19 as a decimal?

Accepted Solution

A:
Solution: 2 109/19 as a decimal is 7.74MethodsFirst step – Making the fraction improper:The first step to changing 2 109/19 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 109 in the numerator to get: 147/19. Now we will attempt to convert 147/19 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 147 by the denominator 19 (which you can enter in any calculator):147 (numerator) ÷ 19 (denominator) = 7.74And finally, you get 7.74 as your answer when you convert 2 109/19 (or 147/19) to a decimal. Practice more conversion problemsAll 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 9/45 as a decimal?What is 2 11/12 as a decimal?What is 29 3/5 as a decimal?What is 6 1/25 as a decimal?