Q:

What is 4 56/9 as a decimal?

Accepted Solution

A:
Solution: 4 56/9 as a decimal is 10.22MethodsFirst step – Making the fraction improper:The first step to changing 4 56/9 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 9 and add its product to 56 in the numerator to get: 92/9. Now we will attempt to convert 92/9 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 92 by the denominator 9 (which you can enter in any calculator):92 (numerator) ÷ 9 (denominator) = 10.22And finally, you get 10.22 as your answer when you convert 4 56/9 (or 92/9) 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 23/18 as a decimal?What is 4 17/21 as a decimal?What is 4 3/34 as a decimal?What is 2 45/19 as a decimal?