What is 1.50416 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 1.50416 into a fraction.

Answer: 1.50416 as a fraction equals 150416/100000 or 9401/6250

Here is the solution for converting 1.50416 to a fraction:

Step 1:

First, we write 1.50416 as  
1.50416/1

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!
1.50416/1
  =  
1.50416 x 100000/1 x 100000
  =  
150416/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 150416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 150416 are: 1  2  4  7  8  14  16  17  28  34  56  68  79  112  119  136  158  238  272  316  476  553  632  952  1106  1264  1343  1904  2212  2686  4424  5372  8848  9401  10744  18802  21488  37604  75208  150416 
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 150416 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.
150416/100000
  =  
150416 ÷ 16/100000 ÷ 16
  =  
9401/6250


Good work! We have just walked through the steps on how to represent 1.50416 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