What is 4.13402 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.13402 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 4.13402 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.

4.13402 as a fraction equals 413402/100000 or 206701/50000

Now let's break down the steps for converting 4.13402 into a fraction.

Step 1:

First, we express 4.13402 as a fraction by placing it over 1:
4.13402/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.13402 x 100000/1 x 100000
  =  
413402/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 413402 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 413402 are: 1 2 11 19 22 23 38 43 46 86 209 253 418 437 473 506 817 874 946 989 1634 1978 4807 8987 9614 10879 17974 18791 21758 37582 206701 413402
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
The GCF of 413402 and 100000 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.
413402 ÷ 2/100000 ÷ 2
  =  
206701/50000


Great Work! We've just determined that 4.13402 as a fraction equals 413402/100000 or 206701/50000 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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating 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.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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 a self-study courses for Algebra. We recommend Purple Math.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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