What is 1.35835 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 1.35835 into a fraction.

Answer: 1.35835 as a fraction equals 135835/100000 or 27167/20000

Here is the solution for converting 1.35835 to a fraction:

Step 1:

First, we write 1.35835 as  
1.35835/1

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!
1.35835/1
  =  
1.35835 x 100000/1 x 100000
  =  
135835/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 135835 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 135835 are: 1  5  7  35  3881  19405  27167  135835 
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 135835 and 100000 that gives us a GCF value of: 5

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.
135835/100000
  =  
135835 ÷ 5/100000 ÷ 5
  =  
27167/20000


Good work! We have just walked through the steps on how to represent 1.35835 as a fraction.

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