What is 1.4012 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.4012 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 1.4012 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.

1.4012 as a fraction equals 14012/10000 or 3503/2500

Now let's break down the steps for converting 1.4012 into a fraction.

Step 1:

First, we express 1.4012 as a fraction by placing it over 1:
1.4012/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.4012 x 10000/1 x 10000
  =  
14012/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 14012 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 14012 are: 1 2 4 31 62 113 124 226 452 3503 7006 14012
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 14012 and 10000 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.
14012 ÷ 4/10000 ÷ 4
  =  
3503/2500


Great Work! We've just determined that 1.4012 as a fraction equals 14012/10000 or 3503/2500 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 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 a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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 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.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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