Q:

What is 3 58/19 as a decimal?

Accepted Solution

A:
Solution: 3 58/19 as a decimal is 6.05MethodsFirst step – Making the fraction improper:The first step to changing 3 58/19 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 19 and add its product to 58 in the numerator to get: 115/19. Now we will attempt to convert 115/19 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 115 by the denominator 19 (which you can enter in any calculator):115 (numerator) ÷ 19 (denominator) = 6.05And finally, you get 6.05 as your answer when you convert 3 58/19 (or 115/19) 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 23/39 as a decimal?What is 3 19/33 as a decimal?What is 5 11/27 as a decimal?What is 3 34/35 as a decimal?