What is 9 22/10 as a decimal?

Solution: 9 22/10 as a decimal is 11.2

Methods

First step – Making the fraction improper:

The first step to changing 9 22/10 into a decimal is to change it to an improper fraction. To do that, we need to multiply 9 by 10 and add its product to 22 in the numerator to get: 112/10. Now we will attempt to convert 112/10 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

One method to convert 112/10 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 112 by the denominator 10:

112 (numerator) ÷ 10 (denominator) = 11.2

And there you go! We got 11.2 as the answer when you convert 9 22/10 (or 112/10) 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:

\frac{112 * 1}{10 * 1} = \frac{112}{10} = 11.2

And finally, you get 11.2 as your answer when you convert 9 22/10 (or 112/10) 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:

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.