Solution: 6 20/10 as a decimal is 8
Methods
First step – Making the fraction improper:
The first step to changing 6 20/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 10 and add its product to 20 in the numerator to get: 80/10. Now we will attempt to convert 80/10 to a decimal using one of the following methods:
Method 1 – Explanation using the division method:
One method to convert 80/10 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 80 by the denominator 10:
80 (numerator) ÷ 10 (denominator) = 8
And there you go! We got 8 as the answer when you convert 6 20/10 (or 80/10) to a decimal.
Method 2 – Explanation using the factors of 10 method:
In this method, we will convert the denominator into a power of 10 and then our fraction will be easier to calculate. If the denominator is a factor of a power of 10, like 2, 4, 5, 8, 10, 16, 20, 25, 40, 50 and so on, then we can convert it into a power of 10.
In order to make 10 a power of 10, we need to multiply by 1 (10 * 1 = 10. Since we multiplied the denominator by 1, we also need to multiply the numerator by 1 too:
80
∗
1
10
∗
1
=
80
10
=
8
\frac{80 * 1}{10 * 1} = \frac{80}{10} = 8
10 ∗ 1 80 ∗ 1 = 10 80 = 8
And finally, you get 8 as your answer when you convert 6 20/10 (or 80/10) 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:
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What is 2 56/27 as a decimal?
What is 3 17/39 as a decimal?
What is 6 19/21 as a decimal?