What is 1.54432 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 1.54432 into a fraction.

Answer: 1.54432 as a fraction equals 154432/100000 or 4826/3125

Here is the solution for converting 1.54432 to a fraction:

Step 1:

First, we write 1.54432 as  
1.54432/1

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!
1.54432/1
  =  
1.54432 x 100000/1 x 100000
  =  
154432/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 154432 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 154432 are: 1  2  4  8  16  19  32  38  64  76  127  152  254  304  508  608  1016  1216  2032  2413  4064  4826  8128  9652  19304  38608  77216  154432 
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 154432 and 100000 that gives us a GCF value of: 32

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.
154432/100000
  =  
154432 ÷ 32/100000 ÷ 32
  =  
4826/3125


Good work! We have just walked through the steps on how to represent 1.54432 as a fraction.

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