What is 1.45656 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 1.45656 into a fraction.

Answer: 1.45656 as a fraction equals 145656/100000 or 18207/12500

Here is the solution for converting 1.45656 to a fraction:

Step 1:

First, we write 1.45656 as  
1.45656/1

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!
1.45656/1
  =  
1.45656 x 100000/1 x 100000
  =  
145656/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 145656 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 145656 are: 1  2  3  4  6  7  8  9  12  14  17  18  21  24  28  34  36  42  51  56  63  68  72  84  102  119  126  136  153  168  204  238  252  289  306  357  408  476  504  578  612  714  867  952  1071  1156  1224  1428  1734  2023  2142  2312  2601  2856  3468  4046  4284  5202  6069  6936  8092  8568  10404  12138  16184  18207  20808  24276  36414  48552  72828  145656 
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 145656 and 100000 that gives us a GCF value of: 8

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.
145656/100000
  =  
145656 ÷ 8/100000 ÷ 8
  =  
18207/12500


Good work! We have just walked through the steps on how to represent 1.45656 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