What is 0.97152 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 0.97152 into a fraction.

Answer: 0.97152 as a fraction equals 97152/100000 or 3036/3125

Here is the solution for converting 0.97152 to a fraction:

Step 1:

First, we write 0.97152 as  
0.97152/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
0.97152/1
  =  
0.97152 x 100000/1 x 100000
  =  
97152/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 97152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97152 are: 1  2  3  4  6  8  11  12  16  22  23  24  32  33  44  46  48  64  66  69  88  92  96  128  132  138  176  184  192  253  264  276  352  368  384  506  528  552  704  736  759  1012  1056  1104  1408  1472  1518  2024  2112  2208  2944  3036  4048  4224  4416  6072  8096  8832  12144  16192  24288  32384  48576  97152 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 97152 and 100000 that gives us a GCF value of: 32

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
97152/100000
  =  
97152 ÷ 32/100000 ÷ 32
  =  
3036/3125


Good work! We have just walked through the steps on how to represent 0.97152 as a fraction.

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