What is 0.432 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.432 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 0.432 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.

0.432 as a fraction equals 432/1000 or 54/125

Now let's break down the steps for converting 0.432 into a fraction.

Step 1:

First, we express 0.432 as a fraction by placing it over 1:
0.432/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.432 x 1000/1 x 1000
  =  
432/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 432 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 432 are: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 432 and 1000 is: 8

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 8 in this case.
432 ÷ 8/1000 ÷ 8
  =  
54/125


Great Work! We've just determined that 0.432 as a fraction equals 432/1000 or 54/125 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 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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.

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.


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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

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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