What is 17 111/20 as a decimal?

There are a lot of different ways you can convert a number into (decimals, percentages, and more) but in this guide, we’ll demonstrate how to use the division method to convert a fraction to a decimal.

Solution: 17 111/20 as a decimal is 22.55

Methods

First step – Making the fraction improper:

The first step to changing 17 111/20 into a decimal is to change it to an improper fraction. To do that, we need to multiply 17 by 20 and add its product to 111 in the numerator to get: 451/20. Now we will attempt to convert 451/20 to a decimal using one of the following methods:

Method 1 – Explanation using the division method:

Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 451 by the denominator 20 to get the decimal:

451 (numerator) ÷ 20 (denominator) = 22.55

That’s it! When you convert 17 111/20 (or 451/20) to a decimal, 22.55 is your answer.

Method 2 – Explanation using the factors of 10 method:

Another method is to change the denominator to a power of 10 (like 10, 100, 1000 etc.). This way, the fraction will be coming simpler to compute.

Even if our denominator is not a power of 10, we can make it one. 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 them into a power of 10. Since our denominator is 20, we can convert it because it is a factor of a power of 10.

To do that, we multiply 20 by 5 to make the denominator 100. And since we multiplied the denominator by 5, we also need to multiply the numerator by 5 too:

$\frac{451 * 5}{20 * 5} = \frac{2255}{100} = 22.55$

And finally, you get 22.55 as your answer when you convert 17 111/20 (or 451/20) to a decimal. 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

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