What is 1.37088 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 1.37088 into a fraction.

Answer: 1.37088 as a fraction equals 137088/100000 or 4284/3125

Here is the solution for converting 1.37088 to a fraction:

Step 1:

First, we write 1.37088 as  
1.37088/1

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!
1.37088/1
  =  
1.37088 x 100000/1 x 100000
  =  
137088/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 137088 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 137088 are: 1  2  3  4  6  7  8  9  12  14  16  17  18  21  24  28  32  34  36  42  48  51  56  63  64  68  72  84  96  102  112  119  126  128  136  144  153  168  192  204  224  238  252  272  288  306  336  357  384  408  448  476  504  544  576  612  672  714  816  896  952  1008  1071  1088  1152  1224  1344  1428  1632  1904  2016  2142  2176  2448  2688  2856  3264  3808  4032  4284  4896  5712  6528  7616  8064  8568  9792  11424  15232  17136  19584  22848  34272  45696  68544  137088 
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 137088 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.
137088/100000
  =  
137088 ÷ 32/100000 ÷ 32
  =  
4284/3125


Good work! We have just walked through the steps on how to represent 1.37088 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net