Solution: 4 7/23 as a decimal is 4.3
Methods
First step – Making the fraction improper:
The first step to changing 4 7/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 23 and add its product to 7 in the numerator to get: 99/23. Now we will attempt to convert 99/23 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 99 by the denominator 23 (which you can enter in any calculator):
99 (numerator) ÷ 23 (denominator) = 4.3
And finally, you get 4.3 as your answer when you convert 4 7/23 (or 99/23) to a decimal.
Practice more conversion problems
All 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 3/28 as a decimal?
What is 3 19/20 as a decimal?
What is 4 2/23 as a decimal?
What is 2 44/27 as a decimal?