What is 0.23642 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.23642 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 0.23642 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.

0.23642 as a fraction equals 23642/100000 or 11821/50000

Now let's break down the steps for converting 0.23642 into a fraction.

Step 1:

First, we express 0.23642 as a fraction by placing it over 1:

0.23642/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.23642 x 100000/1 x 100000

23642/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 23642 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 23642 are: 1 2 11821 23642
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 23642 and 100000 is: 2

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 2 in this case.

23642 ÷ 2/100000 ÷ 2

11821/50000

Great Work! We've just determined that 0.23642 as a fraction equals 23642/100000 or 11821/50000 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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What are mixed numbers?

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

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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as ³/₄, ^-5/₂, or 0.75.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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 repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

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