What is 1.24236 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.24236 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 1.24236 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.

1.24236 as a fraction equals 124236/100000 or 31059/25000

Now let's break down the steps for converting 1.24236 into a fraction.

Step 1:

First, we express 1.24236 as a fraction by placing it over 1:
1.24236/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.24236 x 100000/1 x 100000
  =  
124236/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 124236 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 124236 are: 1 2 3 4 6 7 9 12 14 17 18 21 28 29 34 36 42 51 58 63 68 84 87 102 116 119 126 153 174 203 204 238 252 261 306 348 357 406 476 493 522 609 612 714 812 986 1044 1071 1218 1428 1479 1827 1972 2142 2436 2958 3451 3654 4284 4437 5916 6902 7308 8874 10353 13804 17748 20706 31059 41412 62118 124236
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 124236 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.
124236 ÷ 4/100000 ÷ 4
  =  
31059/25000


Great Work! We've just determined that 1.24236 as a fraction equals 124236/100000 or 31059/25000 in its simplest form.

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Examples of converting decimals to fractions

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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 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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.

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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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