What is .12 as a fraction?

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

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

Now let's break down the steps for converting .12 into a fraction.

Step 1:

First, we express .12 as a fraction by placing it over 1:
.12/1

Step 2:

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

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 absolute value?

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

What are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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.

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

For a self-study courses for Algebra. We recommend Purple Math.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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