69.75 as a simplified fraction


Decimal to Fraction

Here we will show you how to convert 69.75 to a simplified fraction. In other words, we will convert the decimal number 69.75 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 69.75 the numerator and 1 the denominator, like this:

   
69.75
 
   
1

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

   
69.75 × 100
 
   
1 × 100

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

   
6975
 
   
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:

   
6975 ÷ 25
 
   
100 ÷ 25

Then, when we calculate the numerator and denominator above, we get 69.75 as a simplified fraction:

   
279
 
   
4

Note that the numerator is greater than the denominator in 69.75 as a simplified fraction above. Therefore, the fraction is an improper fraction.


You can confirm that the 69.75 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 279 divided by 4 is in fact 69.75.

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