What is 2.25 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.25 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 2.25 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.

2.25 as a fraction equals 225/100 or 9/4

Now let's break down the steps for converting 2.25 into a fraction.

Step 1:

First, we express 2.25 as a fraction by placing it over 1:
2.25/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.25 x 100/1 x 100
  =  
225/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 225 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 225 are: 1 3 5 9 15 25 45 75 225
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 225 and 100 is: 25

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 25 in this case.
225 ÷ 25/100 ÷ 25
  =  
9/4


Great Work! We've just determined that 2.25 as a fraction equals 225/100 or 9/4 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 mixed numbers?

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

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 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 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 decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

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

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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