What is 0.12 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.12 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 0.12 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.

0.12 as a fraction equals 12/100 or 3/25

Now let's break down the steps for converting 0.12 into a fraction.

Step 1:

First, we express 0.12 as a fraction by placing it over 1:
0.12/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.12 x 100/1 x 100
  =  
12/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 12 are: 1 2 3 4 6 12
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 12 and 100 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.
12 ÷ 4/100 ÷ 4
  =  
3/25


Great Work! We've just determined that 0.12 as a fraction equals 12/100 or 3/25 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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 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.

Math Planet has customized math courses for high school students.

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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