What is 3.88976 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 3.88976 into a fraction.

Answer: 3.88976 as a fraction equals 388976/100000 or 24311/6250

Here is the solution for converting 3.88976 to a fraction:

Step 1:

First, we write 3.88976 as  
3.88976/1

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!
3.88976/1
  =  
3.88976 x 100000/1 x 100000
  =  
388976/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 388976 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 388976 are: 1  2  4  7  8  14  16  23  28  46  56  92  112  151  161  184  302  322  368  604  644  1057  1208  1288  2114  2416  2576  3473  4228  6946  8456  13892  16912  24311  27784  48622  55568  97244  194488  388976 
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 388976 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.
388976/100000
  =  
388976 ÷ 16/100000 ÷ 16
  =  
24311/6250


Good work! We have just walked through the steps on how to represent 3.88976 as a fraction.

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