What is 0.97888 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 0.97888 into a fraction.

Answer: 0.97888 as a fraction equals 97888/100000 or 3059/3125

Here is the solution for converting 0.97888 to a fraction:

Step 1:

First, we write 0.97888 as  
0.97888/1

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!
0.97888/1
  =  
0.97888 x 100000/1 x 100000
  =  
97888/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 97888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 97888 are: 1  2  4  7  8  14  16  19  23  28  32  38  46  56  76  92  112  133  152  161  184  224  266  304  322  368  437  532  608  644  736  874  1064  1288  1748  2128  2576  3059  3496  4256  5152  6118  6992  12236  13984  24472  48944  97888 
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 97888 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.
97888/100000
  =  
97888 ÷ 32/100000 ÷ 32
  =  
3059/3125


Good work! We have just walked through the steps on how to represent 0.97888 as a fraction.

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