What is 2.52252 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.52252 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 2.52252 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.

2.52252 as a fraction equals 252252/100000 or 63063/25000

Now let's break down the steps for converting 2.52252 into a fraction.

Step 1:

First, we express 2.52252 as a fraction by placing it over 1:
2.52252/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.52252 x 100000/1 x 100000
  =  
252252/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 252252 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 252252 are: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 49 52 63 66 77 78 84 91 98 99 117 126 132 143 147 154 156 182 196 198 231 234 252 273 286 294 308 364 396 429 441 462 468 539 546 572 588 637 693 819 858 882 924 1001 1078 1092 1274 1287 1386 1617 1638 1716 1764 1911 2002 2156 2548 2574 2772 3003 3234 3276 3822 4004 4851 5148 5733 6006 6468 7007 7644 9009 9702 11466 12012 14014 18018 19404 21021 22932 28028 36036 42042 63063 84084 126126 252252
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 252252 and 100000 is: 4

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 4 in this case.
252252 ÷ 4/100000 ÷ 4
  =  
63063/25000


Great Work! We've just determined that 2.52252 as a fraction equals 252252/100000 or 63063/25000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

For a structured learning approach with video lessons try the Khan Academy.

Desmos.com has a focus on equation, functions and visual graphs.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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