Solution: 2 53/34 as a decimal is 3.56
Methods
First step β Making the fraction improper:
The first step to changing 2 53/34 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 34 and add its product to 53 in the numerator to get: 121/34. Now we will attempt to convert 121/34 to a decimal using the following method:
Explanation using the division method:
One method to convert 121/34 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 121 by the denominator 34:
121 (numerator) Γ· 34 (denominator) = 3.56
And there you go! We got 3.56 as the answer when you convert 2 53/34 (or 121/34) 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 33/13 as a decimal?
What is 10 11/4 as a decimal?
What is 3 5/46 as a decimal?
What is 4 1/35 as a decimal?