What is 1.4402 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.4402 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 1.4402 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.

1.4402 as a fraction equals 14402/10000 or 7201/5000

Now let's break down the steps for converting 1.4402 into a fraction.

Step 1:

First, we express 1.4402 as a fraction by placing it over 1:
1.4402/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.4402 x 10000/1 x 10000
  =  
14402/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14402 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 14402 are: 1 2 19 38 379 758 7201 14402
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 14402 and 10000 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.
14402 ÷ 2/10000 ÷ 2
  =  
7201/5000


Great Work! We've just determined that 1.4402 as a fraction equals 14402/10000 or 7201/5000 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 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 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.

What is a mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

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.


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.

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

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



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