Solution: 4 2/7 as a decimal is 4.29
Methods
First step – Making the fraction improper:
The first step to changing 4 2/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 7 and add its product to 2 in the numerator to get: 30/7. Now we will attempt to convert 30/7 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 30 by the denominator 7 (which you can enter in any calculator):
30 (numerator) ÷ 7 (denominator) = 4.29
And finally, you get 4.29 as your answer when you convert 4 2/7 (or 30/7) 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 8 1/18 as a decimal?
What is 3 1/46 as a decimal?
What is 5 23/24 as a decimal?
What is 5 46/7 as a decimal?