What is 3.408 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 3.408 into a fraction.

Answer: 3.408 as a fraction equals 3408/1000 or 426/125

Here is the solution for converting 3.408 to a fraction:

Step 1:

First, we write 3.408 as

3.408/1

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!

3.408/1

3.408 x 1000/1 x 1000

3408/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3408 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 3408 are: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
So for 3408 and 1000 that gives us a GCF value of: 8

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.

3408/1000

3408 ÷ 8/1000 ÷ 8

426/125

Good work! We have just walked through the steps on how to represent 3.408 as a fraction.

What is 3.408 as a fraction?

Answer: 3.408 as a fraction equals 3408/1000 or 426/125

Convert any decimal to a fraction

Examples of decimal to fraction conversions