What is 1.23375 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 1.23375 into a fraction.

Answer: 1.23375 as a fraction equals 123375/100000 or 987/800

Here is the solution for converting 1.23375 to a fraction:

Step 1:

First, we write 1.23375 as  
1.23375/1

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!
1.23375/1
  =  
1.23375 x 100000/1 x 100000
  =  
123375/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 123375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 123375 are: 1  3  5  7  15  21  25  35  47  75  105  125  141  175  235  329  375  525  705  875  987  1175  1645  2625  3525  4935  5875  8225  17625  24675  41125  123375 
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 123375 and 100000 that gives us a GCF value of: 125

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.
123375/100000
  =  
123375 ÷ 125/100000 ÷ 125
  =  
987/800


Good work! We have just walked through the steps on how to represent 1.23375 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