Q:

What is 5 27/22 as a decimal?

Accepted Solution

A:
Solution: 5 27/22 as a decimal is 6.23MethodsFirst step – Making the fraction improper:The first step to changing 5 27/22 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 22 and add its product to 27 in the numerator to get: 137/22. Now we will attempt to convert 137/22 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 137 by the denominator 22 (which you can enter in any calculator):137 (numerator) ÷ 22 (denominator) = 6.23And finally, you get 6.23 as your answer when you convert 5 27/22 (or 137/22) 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 1 59/16 as a decimal?What is 4 44/20 as a decimal?What is 10 1/15 as a decimal?What is 6 7/23 as a decimal?