Q:

What is 3 21/38 as a decimal?

Accepted Solution

A:
Solution: 3 21/38 as a decimal is 3.55MethodsFirst step – Making the fraction improper:The first step to changing 3 21/38 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 38 and add its product to 21 in the numerator to get: 135/38. Now we will attempt to convert 135/38 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 135 by the denominator 38 (which you can enter in any calculator):135 (numerator) ÷ 38 (denominator) = 3.55And finally, you get 3.55 as your answer when you convert 3 21/38 (or 135/38) 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 3 11/18 as a decimal?What is 1 89/35 as a decimal?What is 26 26/4 as a decimal?What is 9 18/10 as a decimal?