228.1 as a simplified fraction

Here we will show you how to convert 228.1 to a simplified fraction. In other words, we will convert the decimal number 228.1 to a fraction with a numerator and denominator in the simplest form possible.

You can divide any number by 1 without changing its value. Therefore, we start by making 228.1 the numerator and 1 the denominator, like this:

		228.1
		1

Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 10:

		228.1 × 10
		1 × 10

When we calculate the new numerator and denominator above, we get a fraction without a decimal point.

		2281
		10

The greatest common divisor of the numerator and denominator in the fraction above is 1. Therefore, we divide the numerator and the denominator by 1, like this:

		2281 ÷ 1
		10 ÷ 1

Then, when we calculate the numerator and denominator above, we get 228.1 as a simplified fraction:

2281
10

Note that the numerator is greater than the denominator in 228.1 as a simplified fraction above. Therefore, the fraction is an improper fraction.

You can confirm that the 228.1 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 2281 divided by 10 is in fact 228.1.

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