Q:

What is 21 2/7 as a decimal?

Accepted Solution

A:
Solution: 21 2/7 as a decimal is 21.29MethodsFirst step – Making the fraction improper:The first step to changing 21 2/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 21 by 7 and add its product to 2 in the numerator to get: 149/7. Now we will attempt to convert 149/7 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 149 by the denominator 7 (which you can enter in any calculator):149 (numerator) ÷ 7 (denominator) = 21.29And finally, you get 21.29 as your answer when you convert 21 2/7 (or 149/7) 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 4 64/19 as a decimal?What is 3 39/33 as a decimal?What is 2 8/22 as a decimal?What is 21 2/7 as a decimal?