What is 3.62712 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.62712 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 3.62712 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.

3.62712 as a fraction equals 362712/100000 or 45339/12500

Now let's break down the steps for converting 3.62712 into a fraction.

Step 1:

First, we express 3.62712 as a fraction by placing it over 1:
3.62712/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.62712 x 100000/1 x 100000
  =  
362712/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 362712 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 362712 are: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 127 136 168 204 238 254 357 381 408 476 508 714 762 889 952 1016 1428 1524 1778 2159 2667 2856 3048 3556 4318 5334 6477 7112 8636 10668 12954 15113 17272 21336 25908 30226 45339 51816 60452 90678 120904 181356 362712
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 362712 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.
362712 ÷ 8/100000 ÷ 8
  =  
45339/12500


Great Work! We've just determined that 3.62712 as a fraction equals 362712/100000 or 45339/12500 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 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 a structured learning approach with video lessons try the Khan Academy.

Math Planet has customized math courses for high school students.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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