What is 5.37624 as a fraction?

Answer: 5.37624 as a fraction equals 537624/100000 or 67203/12500

Here is the solution for converting 5.37624 to a fraction:

Step 1:

First, we write 5.37624 as  

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!

5.37624/1

  =  

5.37624 x 100000/1 x 100000

  =  

537624/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 537624 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 537624 are: 1  2  3  4  6  8  9  12  18  19  24  27  36  38  54  57  72  76  108  114  131  152  171  216  228  262  342  393  456  513  524  684  786  1026  1048  1179  1368  1572  2052  2358  2489  3144  3537  4104  4716  4978  7074  7467  9432  9956  14148  14934  19912  22401  28296  29868  44802  59736  67203  89604  134406  179208  268812  537624 
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 537624 and 100000 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.

537624/100000

  =  

537624 ÷ 8/100000 ÷ 8

  =  

67203/12500

Good work! We have just walked through the steps on how to represent 5.37624 as a fraction.