Solution: 1 109/21 as a decimal is 6.19
Methods
First step β Making the fraction improper:
The first step to changing 1 109/21 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 21 and add its product to 109 in the numerator to get: 130/21. Now we will attempt to convert 130/21 to a decimal using the following method:
Explanation using the division method:
One method to convert 130/21 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 130 by the denominator 21:
130 (numerator) Γ· 21 (denominator) = 6.19
And there you go! We got 6.19 as the answer when you convert 1 109/21 (or 130/21) 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 2 27/45 as a decimal?
What is 3 12/16 as a decimal?
What is 3 1/47 as a decimal?
What is 26 9/4 as a decimal?