What is 0.88074 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 0.88074 into a fraction.

Answer: 0.88074 as a fraction equals 88074/100000 or 44037/50000

Here is the solution for converting 0.88074 to a fraction:

Step 1:

First, we write 0.88074 as  
0.88074/1

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!
0.88074/1
  =  
0.88074 x 100000/1 x 100000
  =  
88074/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 88074 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 88074 are: 1  2  3  6  7  9  14  18  21  27  42  54  63  126  189  233  378  466  699  1398  1631  2097  3262  4194  4893  6291  9786  12582  14679  29358  44037  88074 
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 88074 and 100000 that gives us a GCF value of: 2

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.
88074/100000
  =  
88074 ÷ 2/100000 ÷ 2
  =  
44037/50000


Good work! We have just walked through the steps on how to represent 0.88074 as a fraction.

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