Math Tutor Explains: What is 89 14/100 as a decimal?

One method to convert 8914/100 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 8914 by the denominator 100:

8914 (numerator) ÷ 100 (denominator) = 89.14

And there you go! We got 89.14 as the answer when you convert 89 14/100 (or 8914/100) to a decimal.

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 1, we also need to multiply the numerator by 1 too:

And finally, you get 89.14 as your answer when you convert 89 14/100 (or 8914/100) to a decimal.

All it takes to be better at something is some practice! Our math tutors suggest that you take a look at some more similar problems on converting fractions to decimals and give them a go:

• What is 10 1/15 as a decimal?
• What is 2 6/28 as a decimal?
• What is 12 52/7 as a decimal?
• What is 2 21/37 as a decimal?