What is 0.97416 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 0.97416 into a fraction.

Answer: 0.97416 as a fraction equals 97416/100000 or 12177/12500

Here is the solution for converting 0.97416 to a fraction:

Step 1:

First, we write 0.97416 as  
0.97416/1

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!
0.97416/1
  =  
0.97416 x 100000/1 x 100000
  =  
97416/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 97416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97416 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  33  36  41  44  54  66  72  82  88  99  108  123  132  164  198  216  246  264  297  328  369  396  451  492  594  738  792  902  984  1107  1188  1353  1476  1804  2214  2376  2706  2952  3608  4059  4428  5412  8118  8856  10824  12177  16236  24354  32472  48708  97416 
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 97416 and 100000 that gives us a GCF value of: 8

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.
97416/100000
  =  
97416 ÷ 8/100000 ÷ 8
  =  
12177/12500


Good work! We have just walked through the steps on how to represent 0.97416 as a fraction.

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