What is 1.0106 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 1.0106 into a fraction.

Answer: 1.0106 as a fraction equals 10106/10000 or 5053/5000

Here is the solution for converting 1.0106 to a fraction:

Step 1:

First, we write 1.0106 as  
1.0106/1

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!
1.0106/1
  =  
1.0106 x 10000/1 x 10000
  =  
10106/10000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 10106 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 10106 are: 1  2  31  62  163  326  5053  10106 
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 10106 and 10000 that gives us a GCF value of: 2

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.
10106/10000
  =  
10106 ÷ 2/10000 ÷ 2
  =  
5053/5000


Good work! We have just walked through the steps on how to represent 1.0106 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