What is 3.67416 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.67416 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 3.67416 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.

3.67416 as a fraction equals 367416/100000 or 45927/12500

Now let's break down the steps for converting 3.67416 into a fraction.

Step 1:

First, we express 3.67416 as a fraction by placing it over 1:
3.67416/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.67416 x 100000/1 x 100000
  =  
367416/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 367416 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 367416 are: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6561 6804 8748 10206 13122 13608 15309 17496 20412 26244 30618 40824 45927 52488 61236 91854 122472 183708 367416
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 367416 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.
367416 ÷ 8/100000 ÷ 8
  =  
45927/12500


Great Work! We've just determined that 3.67416 as a fraction equals 367416/100000 or 45927/12500 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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 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 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.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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

Math Planet has customized math courses for high school students.



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