75.2 as a ratio


Decimal to Ratio

Here we will show you how to convert the decimal number 75.2 to a ratio. In other words, we are going to convert the decimal number 75.2 to the a:b ratio format. The steps to converting the decimal number 75.2 to a ratio are as follows:

Step 1) Convert the decimal number to a fraction by making 75.2 the numerator and 1 the denominator, like this:

75.2  = 
   
75.2
 
   
1
 
   

Step 2) Multiply the numerator and denominator by 10 to eliminate the decimal point.

   
75.2 × 10
 
   
1 × 10
  = 
   
752
 
   
10

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 752 and 10. (The GCF of 752 and 10 is 2.)

   
752 ÷ 2
 
   
10 ÷ 2
  = 
   
376
 
   
5

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:

   
376
 
   
5
 
  =  376:5

That's all there is to it. Now you know 75.2 as a ratio. Once again, below is the answer to the decimal number 75.2 converted to a ratio:

376:5


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