What is 4.84848 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.84848 into a fraction. We will start by understanding how a decimal represents the fractional part of a number, then break down the steps to rewrite 4.84848 as a fraction. Finally, we will simplify the fraction by identifying and applying the Greatest Common Factor, ensuring the results are in the simplest form.

By the end of this guide, you should have a good understanding of decimal to fraction conversions and be able to apply this knowledge to various mathematical problems. Let's begin.

4.84848 as a fraction equals 484848/100000 or 30303/6250

Now let's break down the steps for converting 4.84848 into a fraction.

Step 1:

First, we express 4.84848 as a fraction by placing it over 1:
4.84848/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.84848 x 100000/1 x 100000
  =  
484848/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 484848 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 484848 are: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 37 39 42 48 52 56 63 72 74 78 84 91 104 111 112 117 126 144 148 156 168 182 208 222 234 252 259 273 296 312 333 336 364 444 468 481 504 518 546 592 624 666 728 777 819 888 936 962 1008 1036 1092 1332 1443 1456 1554 1638 1776 1872 1924 2072 2184 2331 2664 2886 3108 3276 3367 3848 4144 4329 4368 4662 5328 5772 6216 6552 6734 7696 8658 9324 10101 11544 12432 13104 13468 17316 18648 20202 23088 26936 30303 34632 37296 40404 53872 60606 69264 80808 121212 161616 242424 484848
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
The GCF of 484848 and 100000 is: 16

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which we calculated in the previous step. The GCF value is 16 in this case.
484848 ÷ 16/100000 ÷ 16
  =  
30303/6250


Great Work! We've just determined that 4.84848 as a fraction equals 484848/100000 or 30303/6250 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


Educational math links

There are numerous online resources available (some free and some paid) for learning math including decimals and fractions. These range from interactive games to in-depth courses and lessons. We recommend these websites as a valuable resource for students of all skill levels.

Math Planet has customized math courses for high school students.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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