What is 4.45968 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 4.45968 into a fraction.

Answer: 4.45968 as a fraction equals 445968/100000 or 27873/6250

Here is the solution for converting 4.45968 to a fraction:

Step 1:

First, we write 4.45968 as  
4.45968/1

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!
4.45968/1
  =  
4.45968 x 100000/1 x 100000
  =  
445968/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 445968 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 445968 are: 1  2  3  4  6  8  9  12  16  18  19  24  36  38  48  57  72  76  114  144  152  163  171  228  304  326  342  456  489  652  684  912  978  1304  1368  1467  1956  2608  2736  2934  3097  3912  5868  6194  7824  9291  11736  12388  18582  23472  24776  27873  37164  49552  55746  74328  111492  148656  222984  445968 
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 445968 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.
445968/100000
  =  
445968 ÷ 16/100000 ÷ 16
  =  
27873/6250


Good work! We have just walked through the steps on how to represent 4.45968 as a fraction.

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