1.25 as a simplified fraction


Decimal to Fraction

Here we will show you how to convert 1.25 to a simplified fraction. In other words, we will convert the decimal number 1.25 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 1.25 the numerator and 1 the denominator, like this:

   
1.25
 
   
1

Next, we need to remove the decimal point in the numerator. We can do that by multiplying the numerator and denominator by 100:

   
1.25 × 100
 
   
1 × 100

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

   
125
 
   
100

The greatest common divisor of the numerator and denominator in the fraction above is 25. Therefore, we divide the numerator and the denominator by 25, like this:

   
125 ÷ 25
 
   
100 ÷ 25

Then, when we calculate the numerator and denominator above, we get 1.25 as a simplified fraction:

   
5
 
   
4

Note that the numerator is greater than the denominator in 1.25 as a simplified fraction above. Therefore, the fraction is an improper fraction.


You can confirm that the 1.25 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 5 divided by 4 is in fact 1.25.

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1.251 as a simplified fraction
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