What is 1.12608 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 1.12608 into a fraction.

Answer: 1.12608 as a fraction equals 112608/100000 or 3519/3125

Here is the solution for converting 1.12608 to a fraction:

Step 1:

First, we write 1.12608 as  
1.12608/1

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!
1.12608/1
  =  
1.12608 x 100000/1 x 100000
  =  
112608/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 112608 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 112608 are: 1  2  3  4  6  8  9  12  16  17  18  23  24  32  34  36  46  48  51  68  69  72  92  96  102  136  138  144  153  184  204  207  272  276  288  306  368  391  408  414  544  552  612  736  782  816  828  1104  1173  1224  1564  1632  1656  2208  2346  2448  3128  3312  3519  4692  4896  6256  6624  7038  9384  12512  14076  18768  28152  37536  56304  112608 
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 112608 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.
112608/100000
  =  
112608 ÷ 32/100000 ÷ 32
  =  
3519/3125


Good work! We have just walked through the steps on how to represent 1.12608 as a fraction.

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