What is 4.0365 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.0365 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 4.0365 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.

4.0365 as a fraction equals 40365/10000 or 8073/2000

Now let's break down the steps for converting 4.0365 into a fraction.

Step 1:

First, we express 4.0365 as a fraction by placing it over 1:
4.0365/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.0365 x 10000/1 x 10000
  =  
40365/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 40365 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 40365 are: 1 3 5 9 13 15 23 27 39 45 65 69 115 117 135 195 207 299 345 351 585 621 897 1035 1495 1755 2691 3105 4485 8073 13455 40365
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 40365 and 10000 is: 5

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 5 in this case.
40365 ÷ 5/10000 ÷ 5
  =  
8073/2000


Great Work! We've just determined that 4.0365 as a fraction equals 40365/10000 or 8073/2000 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 is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 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.


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 early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Math Planet has customized math courses for high school students.

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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