What is 1.2 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.2 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 1.2 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.

1.2 as a fraction equals 12/10 or 6/5

Now let's break down the steps for converting 1.2 into a fraction.

Step 1:

First, we express 1.2 as a fraction by placing it over 1:
1.2/1

Step 2:

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

Step 3:

Next, we find the Greatest Common Factor (GCF) for 12 and 10. 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 10 are: 1 2 5 10
The GCF of 12 and 10 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.
12 ÷ 2/10 ÷ 2
  =  
6/5


Great Work! We've just determined that 1.2 as a fraction equals 12/10 or 6/5 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 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 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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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 fun game based learning try Prodigy Math.

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

Desmos.com has a focus on equation, functions and visual graphs.



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