What is 4.8024 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 4.8024 into a fraction.

Answer: 4.8024 as a fraction equals 48024/10000 or 6003/1250

Here is the solution for converting 4.8024 to a fraction:

Step 1:

First, we write 4.8024 as

4.8024/1

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!

4.8024/1

4.8024 x 10000/1 x 10000

48024/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 48024 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 48024 are: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1656 2001 2088 2668 4002 5336 6003 8004 12006 16008 24012 48024
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 48024 and 10000 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.

48024/10000

48024 ÷ 8/10000 ÷ 8

6003/1250

Good work! We have just walked through the steps on how to represent 4.8024 as a fraction.

What is 4.8024 as a fraction?

Answer: 4.8024 as a fraction equals 48024/10000 or 6003/1250

Convert any decimal to a fraction

Examples of decimal to fraction conversions