What is 3.9004 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 3.9004 into a fraction.

Answer: 3.9004 as a fraction equals 39004/10000 or 9751/2500

Here is the solution for converting 3.9004 to a fraction:

Step 1:

First, we write 3.9004 as

3.9004/1

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!

3.9004/1

3.9004 x 10000/1 x 10000

39004/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 39004 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 39004 are: 1 2 4 7 14 28 49 98 196 199 398 796 1393 2786 5572 9751 19502 39004
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
So for 39004 and 10000 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.

39004/10000

39004 ÷ 4/10000 ÷ 4

9751/2500

Good work! We have just walked through the steps on how to represent 3.9004 as a fraction.

What is 3.9004 as a fraction?

Answer: 3.9004 as a fraction equals 39004/10000 or 9751/2500

Convert any decimal to a fraction

Examples of decimal to fraction conversions