What is 1.51656 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 1.51656 into a fraction.

Answer: 1.51656 as a fraction equals 151656/100000 or 18957/12500

Here is the solution for converting 1.51656 to a fraction:

Step 1:

First, we write 1.51656 as  
1.51656/1

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!
1.51656/1
  =  
1.51656 x 100000/1 x 100000
  =  
151656/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 151656 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 151656 are: 1  2  3  4  6  8  12  24  71  89  142  178  213  267  284  356  426  534  568  712  852  1068  1704  2136  6319  12638  18957  25276  37914  50552  75828  151656 
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 151656 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.
151656/100000
  =  
151656 ÷ 8/100000 ÷ 8
  =  
18957/12500


Good work! We have just walked through the steps on how to represent 1.51656 as a fraction.

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