What is 1.98352 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 1.98352 into a fraction.

Answer: 1.98352 as a fraction equals 198352/100000 or 12397/6250

Here is the solution for converting 1.98352 to a fraction:

Step 1:

First, we write 1.98352 as  
1.98352/1

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!
1.98352/1
  =  
1.98352 x 100000/1 x 100000
  =  
198352/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 198352 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 198352 are: 1  2  4  7  8  11  14  16  22  23  28  44  46  49  56  77  88  92  98  112  154  161  176  184  196  253  308  322  368  392  506  539  616  644  784  1012  1078  1127  1232  1288  1771  2024  2156  2254  2576  3542  4048  4312  4508  7084  8624  9016  12397  14168  18032  24794  28336  49588  99176  198352 
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 198352 and 100000 that gives us a GCF value of: 16

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.
198352/100000
  =  
198352 ÷ 16/100000 ÷ 16
  =  
12397/6250


Good work! We have just walked through the steps on how to represent 1.98352 as a fraction.

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