What is 4.28846 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 4.28846 into a fraction.

Answer: 4.28846 as a fraction equals 428846/100000 or 214423/50000

Here is the solution for converting 4.28846 to a fraction:

Step 1:

First, we write 4.28846 as

4.28846/1

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!

4.28846/1

4.28846 x 100000/1 x 100000

428846/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 428846 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 428846 are: 1 2 11 22 101 193 202 386 1111 2123 2222 4246 19493 38986 214423 428846
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 428846 and 100000 that gives us a GCF value of: 2

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.

428846/100000

428846 ÷ 2/100000 ÷ 2

214423/50000

Good work! We have just walked through the steps on how to represent 4.28846 as a fraction.

What is 4.28846 as a fraction?

Answer: 4.28846 as a fraction equals 428846/100000 or 214423/50000

Convert any decimal to a fraction

Examples of decimal to fraction conversions