What is 1.8364 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.8364 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 1.8364 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.

1.8364 as a fraction equals 18364/10000 or 4591/2500

Now let's break down the steps for converting 1.8364 into a fraction.

Step 1:

First, we express 1.8364 as a fraction by placing it over 1:
1.8364/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.8364 x 10000/1 x 10000
  =  
18364/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 18364 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 18364 are: 1 2 4 4591 9182 18364
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 18364 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.
18364 ÷ 4/10000 ÷ 4
  =  
4591/2500


Great Work! We've just determined that 1.8364 as a fraction equals 18364/10000 or 4591/2500 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 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 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 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.


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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.



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