Solution: 3 114/4 as a decimal is 31.5MethodsFirst step – Making the fraction improper:The first step to changing 3 114/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 4 and add its product to 114 in the numerator to get: 126/4. Now we will attempt to convert 126/4 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 126 by the denominator 4 (which you can enter in any calculator):126 (numerator) ÷ 4 (denominator) = 31.5And finally, you get 31.5 as your answer when you convert 3 114/4 (or 126/4) 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 6 15/22 as a decimal?What is 2 58/43 as a decimal?What is 2 16/47 as a decimal?What is 4 4/35 as a decimal?