Solution: 4 42/12 as a decimal is 7.5
Methods
First step – Making the fraction improper:
The first step to changing 4 42/12 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 12 and add its product to 42 in the numerator to get: 90/12. Now we will attempt to convert 90/12 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 90 by the denominator 12 (which you can enter in any calculator):
90 (numerator) ÷ 12 (denominator) = 7.5
And finally, you get 7.5 as your answer when you convert 4 42/12 (or 90/12) 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 2 32/29 as a decimal?
What is 1 44/43 as a decimal?
What is 3 3/49 as a decimal?
What is 3 11/28 as a decimal?