What is 2.70732 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 2.70732 into a fraction.

Answer: 2.70732 as a fraction equals 270732/100000 or 67683/25000

Here is the solution for converting 2.70732 to a fraction:

Step 1:

First, we write 2.70732 as  
2.70732/1

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!
2.70732/1
  =  
2.70732 x 100000/1 x 100000
  =  
270732/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 270732 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 270732 are: 1  2  3  4  6  7  11  12  14  21  22  28  33  42  44  66  77  84  132  154  231  293  308  462  586  879  924  1172  1758  2051  3223  3516  4102  6153  6446  8204  9669  12306  12892  19338  22561  24612  38676  45122  67683  90244  135366  270732 
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 270732 and 100000 that gives us a GCF value of: 4

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.
270732/100000
  =  
270732 ÷ 4/100000 ÷ 4
  =  
67683/25000


Good work! We have just walked through the steps on how to represent 2.70732 as a fraction.

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