What is 1.40112 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 1.40112 into a fraction.

Answer: 1.40112 as a fraction equals 140112/100000 or 8757/6250

Here is the solution for converting 1.40112 to a fraction:

Step 1:

First, we write 1.40112 as  
1.40112/1

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!
1.40112/1
  =  
1.40112 x 100000/1 x 100000
  =  
140112/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 140112 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 140112 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  84  112  126  139  144  168  252  278  336  417  504  556  834  973  1008  1112  1251  1668  1946  2224  2502  2919  3336  3892  5004  5838  6672  7784  8757  10008  11676  15568  17514  20016  23352  35028  46704  70056  140112 
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 140112 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.
140112/100000
  =  
140112 ÷ 16/100000 ÷ 16
  =  
8757/6250


Good work! We have just walked through the steps on how to represent 1.40112 as a fraction.

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