Solution: 2 98/22 as a decimal is 6.45
Methods
First step β Making the fraction improper:
The first step to changing 2 98/22 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 22 and add its product to 98 in the numerator to get: 142/22. Now we will attempt to convert 142/22 to a decimal using the following method:
Explanation using the division method:
One method to convert 142/22 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 142 by the denominator 22:
142 (numerator) Γ· 22 (denominator) = 6.45
And there you go! We got 6.45 as the answer when you convert 2 98/22 (or 142/22) to a decimal.
Practice more 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 1 92/42 as a decimal?
What is 2 43/43 as a decimal?
What is 4 60/21 as a decimal?
What is 4 15/30 as a decimal?