What is 4 11/23 as a decimal?

Accepted Solution

Solution: 4 11/23 as a decimal is 4.48MethodsFirst step – Making the fraction improper:The first step to changing 4 11/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 23 and add its product to 11 in the numerator to get: 103/23. Now we will attempt to convert 103/23 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 103 by the denominator 23 (which you can enter in any calculator):103 (numerator) ÷ 23 (denominator) = 4.48And finally, you get 4.48 as your answer when you convert 4 11/23 (or 103/23) 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 8/36 as a decimal?What is 13 32/9 as a decimal?What is 3 5/31 as a decimal?What is 5 24/16 as a decimal?