Solution: 46 6/3 as a decimal is 48MethodsFirst step – Making the fraction improper:The first step to changing 46 6/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 46 by 3 and add its product to 6 in the numerator to get: 144/3. Now we will attempt to convert 144/3 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 144 by the denominator 3 (which you can enter in any calculator):144 (numerator) ÷ 3 (denominator) = 48And finally, you get 48 as your answer when you convert 46 6/3 (or 144/3) 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 18 20/7 as a decimal?What is 7 15/19 as a decimal?What is 10 32/11 as a decimal?What is 4 5/35 as a decimal?