What is 1.24944 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 1.24944 into a fraction.

Answer: 1.24944 as a fraction equals 124944/100000 or 7809/6250

Here is the solution for converting 1.24944 to a fraction:

Step 1:

First, we write 1.24944 as  
1.24944/1

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!
1.24944/1
  =  
1.24944 x 100000/1 x 100000
  =  
124944/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 124944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 124944 are: 1  2  3  4  6  8  12  16  19  24  38  48  57  76  114  137  152  228  274  304  411  456  548  822  912  1096  1644  2192  2603  3288  5206  6576  7809  10412  15618  20824  31236  41648  62472  124944 
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 124944 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.
124944/100000
  =  
124944 ÷ 16/100000 ÷ 16
  =  
7809/6250


Good work! We have just walked through the steps on how to represent 1.24944 as a fraction.

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