What is 0.98964 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 0.98964 into a fraction.

Answer: 0.98964 as a fraction equals 98964/100000 or 24741/25000

Here is the solution for converting 0.98964 to a fraction:

Step 1:

First, we write 0.98964 as  
0.98964/1

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!
0.98964/1
  =  
0.98964 x 100000/1 x 100000
  =  
98964/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 98964 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 98964 are: 1  2  3  4  6  9  12  18  36  2749  5498  8247  10996  16494  24741  32988  49482  98964 
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 98964 and 100000 that gives us a GCF value of: 4

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.
98964/100000
  =  
98964 ÷ 4/100000 ÷ 4
  =  
24741/25000


Good work! We have just walked through the steps on how to represent 0.98964 as a fraction.

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