65.02 as a simplified fraction


Decimal to Fraction

Here we will show you how to convert 65.02 to a simplified fraction. In other words, we will convert the decimal number 65.02 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 65.02 the numerator and 1 the denominator, like this:

   
65.02
 
   
1

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

   
65.02 × 100
 
   
1 × 100

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

   
6502
 
   
100

The greatest common divisor of the numerator and denominator in the fraction above is 2. Therefore, we divide the numerator and the denominator by 2, like this:

   
6502 ÷ 2
 
   
100 ÷ 2

Then, when we calculate the numerator and denominator above, we get 65.02 as a simplified fraction:

   
3251
 
   
50

Note that the numerator is greater than the denominator in 65.02 as a simplified fraction above. Therefore, the fraction is an improper fraction.


You can confirm that the 65.02 as a simplified fraction answer above is correct by dividing the numerator by the denominator. 3251 divided by 50 is in fact 65.02.

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