Solution: 85/100 as a decimal is 0.85
Methods
Method 1 – Explanation using the division method:
One method to convert 85/100 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 85 by the denominator 100:
85 (numerator) ÷ 100 (denominator) = 0.85
And there you go! We got 0.85 as the answer when you convert 85/100 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 100 a power of 10, we need to multiply by 1 (100 * 1 = 100. Since we multiplied the denominator by {m}, we also need to multiply the numerator by {m} too:
85
∗
1
100
∗
1
=
85
100
=
0.85
\frac{85 * 1}{100 * 1} = \frac{85}{100} = 0.85
100 ∗ 1 85 ∗ 1 = 100 85 = 0.85
And finally, you get 0.85 as your answer when you convert 85/100 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 140/50 as a decimal?
What is 20/134 as a decimal?
What is 132/32 as a decimal?
What is 64/1 as a decimal?