What is 1.04748 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 1.04748 into a fraction.

Answer: 1.04748 as a fraction equals 104748/100000 or 26187/25000

Here is the solution for converting 1.04748 to a fraction:

Step 1:

First, we write 1.04748 as  
1.04748/1

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!
1.04748/1
  =  
1.04748 x 100000/1 x 100000
  =  
104748/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 104748 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 104748 are: 1  2  3  4  6  7  12  14  21  28  29  42  43  58  84  86  87  116  129  172  174  203  258  301  348  406  516  602  609  812  903  1204  1218  1247  1806  2436  2494  3612  3741  4988  7482  8729  14964  17458  26187  34916  52374  104748 
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 104748 and 100000 that gives us a GCF value of: 4

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.
104748/100000
  =  
104748 ÷ 4/100000 ÷ 4
  =  
26187/25000


Good work! We have just walked through the steps on how to represent 1.04748 as a fraction.

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