What is 1.51956 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 1.51956 into a fraction.

Answer: 1.51956 as a fraction equals 151956/100000 or 37989/25000

Here is the solution for converting 1.51956 to a fraction:

Step 1:

First, we write 1.51956 as  
1.51956/1

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!
1.51956/1
  =  
1.51956 x 100000/1 x 100000
  =  
151956/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 151956 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 151956 are: 1  2  3  4  6  7  9  12  14  18  21  27  28  36  42  54  63  67  81  84  108  126  134  162  189  201  252  268  324  378  402  469  567  603  756  804  938  1134  1206  1407  1809  1876  2268  2412  2814  3618  4221  5427  5628  7236  8442  10854  12663  16884  21708  25326  37989  50652  75978  151956 
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 151956 and 100000 that gives us a GCF value of: 4

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.
151956/100000
  =  
151956 ÷ 4/100000 ÷ 4
  =  
37989/25000


Good work! We have just walked through the steps on how to represent 1.51956 as a fraction.

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