What is 1.35324 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.35324 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 1.35324 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.

1.35324 as a fraction equals 135324/100000 or 33831/25000

Now let's break down the steps for converting 1.35324 into a fraction.

Step 1:

First, we express 1.35324 as a fraction by placing it over 1:
1.35324/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.35324 x 100000/1 x 100000
  =  
135324/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 135324 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 135324 are: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 179 189 252 358 378 537 716 756 1074 1253 1611 2148 2506 3222 3759 4833 5012 6444 7518 9666 11277 15036 19332 22554 33831 45108 67662 135324
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 135324 and 100000 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.
135324 ÷ 4/100000 ÷ 4
  =  
33831/25000


Great Work! We've just determined that 1.35324 as a fraction equals 135324/100000 or 33831/25000 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

What are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

What are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 personalized 1-1 lessons check out Preply.com.

Math Planet has customized math courses for high school students.

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



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