What is 0.74536 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.74536 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 0.74536 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.

0.74536 as a fraction equals 74536/100000 or 9317/12500

Now let's break down the steps for converting 0.74536 into a fraction.

Step 1:

First, we express 0.74536 as a fraction by placing it over 1:
0.74536/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.74536 x 100000/1 x 100000
  =  
74536/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74536 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 74536 are: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1331 1694 2662 3388 5324 6776 9317 10648 18634 37268 74536
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 74536 and 100000 is: 8

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 8 in this case.
74536 ÷ 8/100000 ÷ 8
  =  
9317/12500


Great Work! We've just determined that 0.74536 as a fraction equals 74536/100000 or 9317/12500 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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 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.

For personalized 1-1 lessons check out Preply.com.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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