What is 3.38768 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.38768 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 3.38768 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.

3.38768 as a fraction equals 338768/100000 or 21173/6250

Now let's break down the steps for converting 3.38768 into a fraction.

Step 1:

First, we express 3.38768 as a fraction by placing it over 1:
3.38768/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.38768 x 100000/1 x 100000
  =  
338768/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 338768 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 338768 are: 1 2 4 8 16 31 62 124 248 496 683 1366 2732 5464 10928 21173 42346 84692 169384 338768
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 338768 and 100000 is: 16

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 16 in this case.
338768 ÷ 16/100000 ÷ 16
  =  
21173/6250


Great Work! We've just determined that 3.38768 as a fraction equals 338768/100000 or 21173/6250 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 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

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 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%.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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

Math Planet has customized math courses for high school students.



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