What is 3.82464 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.82464 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 3.82464 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.

3.82464 as a fraction equals 382464/100000 or 11952/3125

Now let's break down the steps for converting 3.82464 into a fraction.

Step 1:

First, we express 3.82464 as a fraction by placing it over 1:
3.82464/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.82464 x 100000/1 x 100000
  =  
382464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 382464 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 382464 are: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1152 1328 1494 1536 1992 2304 2656 2988 3984 4608 5312 5976 7968 10624 11952 15936 21248 23904 31872 42496 47808 63744 95616 127488 191232 382464
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 382464 and 100000 is: 32

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 32 in this case.
382464 ÷ 32/100000 ÷ 32
  =  
11952/3125


Great Work! We've just determined that 3.82464 as a fraction equals 382464/100000 or 11952/3125 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 4.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

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

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

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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