What is 3.225 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.225 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 3.225 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.

3.225 as a fraction equals 3225/1000 or 129/40

Now let's break down the steps for converting 3.225 into a fraction.

Step 1:

First, we express 3.225 as a fraction by placing it over 1:
3.225/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.225 x 1000/1 x 1000
  =  
3225/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 3225 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 3225 are: 1 3 5 15 25 43 75 129 215 645 1075 3225
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 3225 and 1000 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.
3225 ÷ 25/1000 ÷ 25
  =  
129/40


Great Work! We've just determined that 3.225 as a fraction equals 3225/1000 or 129/40 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

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 a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

Use Study.com for an entertaining video lesson approach.

Math Planet has customized math courses for high school students.

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



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