Q:

What is 3 11/30 as a decimal?

Accepted Solution

A:
Solution: 3 11/30 as a decimal is 3.37MethodsFirst step – Making the fraction improper:The first step to changing 3 11/30 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 30 and add its product to 11 in the numerator to get: 101/30. Now we will attempt to convert 101/30 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 101 by the denominator 30 (which you can enter in any calculator):101 (numerator) ÷ 30 (denominator) = 3.37And finally, you get 3.37 as your answer when you convert 3 11/30 (or 101/30) 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 2 37/17 as a decimal?What is 63 4/2 as a decimal?What is 3 26/22 as a decimal?What is 4 24/31 as a decimal?