Q:

What is 3 122/6 as a decimal?

Accepted Solution

A:
Solution: 3 122/6 as a decimal is 23.33MethodsFirst step – Making the fraction improper:The first step to changing 3 122/6 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 6 and add its product to 122 in the numerator to get: 140/6. Now we will attempt to convert 140/6 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 140 by the denominator 6 (which you can enter in any calculator):140 (numerator) ÷ 6 (denominator) = 23.33And finally, you get 23.33 as your answer when you convert 3 122/6 (or 140/6) 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 35/27 as a decimal?What is 2 31/46 as a decimal?What is 1 105/37 as a decimal?What is 1 46/43 as a decimal?