What is 1.53456 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 1.53456 into a fraction.

Answer: 1.53456 as a fraction equals 153456/100000 or 9591/6250

Here is the solution for converting 1.53456 to a fraction:

Step 1:

First, we write 1.53456 as  
1.53456/1

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!
1.53456/1
  =  
1.53456 x 100000/1 x 100000
  =  
153456/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 153456 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 153456 are: 1  2  3  4  6  8  12  16  23  24  46  48  69  92  138  139  184  276  278  368  417  552  556  834  1104  1112  1668  2224  3197  3336  6394  6672  9591  12788  19182  25576  38364  51152  76728  153456 
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 153456 and 100000 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.
153456/100000
  =  
153456 ÷ 16/100000 ÷ 16
  =  
9591/6250


Good work! We have just walked through the steps on how to represent 1.53456 as a fraction.

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