What is 0.4004 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 0.4004 into a fraction.

Answer: 0.4004 as a fraction equals 4004/10000 or 1001/2500

Here is the solution for converting 0.4004 to a fraction:

Step 1:

First, we write 0.4004 as

0.4004/1

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!

0.4004/1

0.4004 x 10000/1 x 10000

4004/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4004 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 4004 are: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004
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 4004 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.

4004/10000

4004 ÷ 4/10000 ÷ 4

1001/2500

Good work! We have just walked through the steps on how to represent 0.4004 as a fraction.

What is 0.4004 as a fraction?

Answer: 0.4004 as a fraction equals 4004/10000 or 1001/2500

Convert any decimal to a fraction

Examples of decimal to fraction conversions