Solution: 2 43/30 as a decimal is 3.43
Methods
First step β Making the fraction improper:
The first step to changing 2 43/30 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 30 and add its product to 43 in the numerator to get: 103/30. Now we will attempt to convert 103/30 to a decimal using the following method:
Explanation using the division method:
One method to convert 103/30 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 103 by the denominator 30:
103 (numerator) Γ· 30 (denominator) = 3.43
And there you go! We got 3.43 as the answer when you convert 2 43/30 (or 103/30) 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 4 6/32 as a decimal?
What is 6 3/23 as a decimal?
What is 1 84/43 as a decimal?
What is 2 30/39 as a decimal?