Solution: 3 4/21 as a decimal is 3.19
Methods
First step – Making the fraction improper:
The first step to changing 3 4/21 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 21 and add its product to 4 in the numerator to get: 67/21. Now we will attempt to convert 67/21 to a decimal using the following method:
Explanation using the division method:
One method to convert 67/21 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 67 by the denominator 21:
67 (numerator) ÷ 21 (denominator) = 3.19
And there you go! We got 3.19 as the answer when you convert 3 4/21 (or 67/21) 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 6 100/7 as a decimal?
What is 4 75/17 as a decimal?
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What is 2 82/23 as a decimal?