What is 7.24752 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 7.24752 into a fraction.

Answer: 7.24752 as a fraction equals 724752/100000 or 45297/6250

Here is the solution for converting 7.24752 to a fraction:

Step 1:

First, we write 7.24752 as  
7.24752/1

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!
7.24752/1
  =  
7.24752 x 100000/1 x 100000
  =  
724752/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 724752 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 724752 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  84  112  126  144  168  252  336  504  719  1008  1438  2157  2876  4314  5033  5752  6471  8628  10066  11504  12942  15099  17256  20132  25884  30198  34512  40264  45297  51768  60396  80528  90594  103536  120792  181188  241584  362376  724752 
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 724752 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.
724752/100000
  =  
724752 ÷ 16/100000 ÷ 16
  =  
45297/6250


Good work! We have just walked through the steps on how to represent 7.24752 as a fraction.

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