Q:

# What is 3 45/28 as a decimal?

Accepted Solution

A:
Solution: 3 45/28 as a decimal is 4.61MethodsFirst step – Making the fraction improper:The first step to changing 3 45/28 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 28 and add its product to 45 in the numerator to get: 129/28. Now we will attempt to convert 129/28 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 129 by the denominator 28 (which you can enter in any calculator):129 (numerator) ÷ 28 (denominator) = 4.61And finally, you get 4.61 as your answer when you convert 3 45/28 (or 129/28) 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 5 5/26 as a decimal?What is 1 73/44 as a decimal?What is 1 85/42 as a decimal?What is 1 114/23 as a decimal?