Q:

What is 3 5/13 as a decimal?

Accepted Solution

A:
Solution: 3 5/13 as a decimal is 3.38MethodsFirst step – Making the fraction improper:The first step to changing 3 5/13 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 13 and add its product to 5 in the numerator to get: 44/13. Now we will attempt to convert 44/13 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 44 by the denominator 13 (which you can enter in any calculator):44 (numerator) ÷ 13 (denominator) = 3.38And finally, you get 3.38 as your answer when you convert 3 5/13 (or 44/13) 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 20/17 as a decimal?What is 14 41/7 as a decimal?What is 5 49/18 as a decimal?What is 4 7/35 as a decimal?