What is 1.1296 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 1.1296 into a fraction.

Answer: 1.1296 as a fraction equals 11296/10000 or 706/625

Here is the solution for converting 1.1296 to a fraction:

Step 1:

First, we write 1.1296 as  
1.1296/1

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!
1.1296/1
  =  
1.1296 x 10000/1 x 10000
  =  
11296/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 11296 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 11296 are: 1  2  4  8  16  32  353  706  1412  2824  5648  11296 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 11296 and 10000 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.
11296/10000
  =  
11296 ÷ 16/10000 ÷ 16
  =  
706/625


Good work! We have just walked through the steps on how to represent 1.1296 as a fraction.

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