What is 1.26252 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.26252 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 1.26252 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.

1.26252 as a fraction equals 126252/100000 or 31563/25000

Now let's break down the steps for converting 1.26252 into a fraction.

Step 1:

First, we express 1.26252 as a fraction by placing it over 1:
1.26252/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.26252 x 100000/1 x 100000
  =  
126252/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 126252 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 126252 are: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 167 189 252 334 378 501 668 756 1002 1169 1503 2004 2338 3006 3507 4509 4676 6012 7014 9018 10521 14028 18036 21042 31563 42084 63126 126252
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 126252 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.
126252 ÷ 4/100000 ÷ 4
  =  
31563/25000


Great Work! We've just determined that 1.26252 as a fraction equals 126252/100000 or 31563/25000 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 imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

What are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

What is a proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

Math Planet has customized math courses for high school students.



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