What is 0.67488 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 0.67488 into a fraction.

Answer: 0.67488 as a fraction equals 67488/100000 or 2109/3125

Here is the solution for converting 0.67488 to a fraction:

Step 1:

First, we write 0.67488 as  
0.67488/1

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!
0.67488/1
  =  
0.67488 x 100000/1 x 100000
  =  
67488/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 67488 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 67488 are: 1  2  3  4  6  8  12  16  19  24  32  37  38  48  57  74  76  96  111  114  148  152  222  228  296  304  444  456  592  608  703  888  912  1184  1406  1776  1824  2109  2812  3552  4218  5624  8436  11248  16872  22496  33744  67488 
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 67488 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.
67488/100000
  =  
67488 ÷ 32/100000 ÷ 32
  =  
2109/3125


Good work! We have just walked through the steps on how to represent 0.67488 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