What is 3.86232 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.86232 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 3.86232 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.

3.86232 as a fraction equals 386232/100000 or 48279/12500

Now let's break down the steps for converting 3.86232 into a fraction.

Step 1:

First, we express 3.86232 as a fraction by placing it over 1:
3.86232/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.86232 x 100000/1 x 100000
  =  
386232/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 386232 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 386232 are: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 121 132 133 152 154 168 209 228 231 242 264 266 308 363 399 418 456 462 484 532 616 627 726 798 836 847 924 968 1064 1254 1452 1463 1596 1672 1694 1848 2299 2508 2541 2904 2926 3192 3388 4389 4598 5016 5082 5852 6776 6897 8778 9196 10164 11704 13794 16093 17556 18392 20328 27588 32186 35112 48279 55176 64372 96558 128744 193116 386232
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 386232 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.
386232 ÷ 8/100000 ÷ 8
  =  
48279/12500


Great Work! We've just determined that 3.86232 as a fraction equals 386232/100000 or 48279/12500 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 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.

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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

Use Study.com for an entertaining video lesson approach.

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

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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