What is 2.624 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 2.624 into a fraction.

Answer: 2.624 as a fraction equals 2624/1000 or 328/125

Here is the solution for converting 2.624 to a fraction:

Step 1:

First, we write 2.624 as  
2.624/1

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!
2.624/1
  =  
2.624 x 1000/1 x 1000
  =  
2624/1000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 2624 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 2624 are: 1  2  4  8  16  32  41  64  82  164  328  656  1312  2624 
The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000 
So for 2624 and 1000 that gives us a GCF value of: 8

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.
2624/1000
  =  
2624 ÷ 8/1000 ÷ 8
  =  
328/125


Good work! We have just walked through the steps on how to represent 2.624 as a fraction.

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