What is 4 38/11 as a decimal?

Accepted Solution

Solution: 4 38/11 as a decimal is 7.45MethodsFirst step – Making the fraction improper:The first step to changing 4 38/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 11 and add its product to 38 in the numerator to get: 82/11. Now we will attempt to convert 82/11 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 82 by the denominator 11 (which you can enter in any calculator):82 (numerator) ÷ 11 (denominator) = 7.45And finally, you get 7.45 as your answer when you convert 4 38/11 (or 82/11) 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 84/23 as a decimal?What is 3 93/15 as a decimal?What is 1 48/46 as a decimal?What is 22 17/6 as a decimal?