What is 3.98268 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.98268 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 3.98268 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.

3.98268 as a fraction equals 398268/100000 or 99567/25000

Now let's break down the steps for converting 3.98268 into a fraction.

Step 1:

First, we express 3.98268 as a fraction by placing it over 1:
3.98268/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.98268 x 100000/1 x 100000
  =  
398268/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 398268 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 398268 are: 1 2 3 4 6 9 12 13 18 23 26 36 37 39 46 52 69 74 78 92 111 117 138 148 156 207 222 234 276 299 333 414 444 468 481 598 666 828 851 897 962 1196 1332 1443 1702 1794 1924 2553 2691 2886 3404 3588 4329 5106 5382 5772 7659 8658 10212 10764 11063 15318 17316 22126 30636 33189 44252 66378 99567 132756 199134 398268
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 398268 and 100000 is: 4

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 4 in this case.
398268 ÷ 4/100000 ÷ 4
  =  
99567/25000


Great Work! We've just determined that 3.98268 as a fraction equals 398268/100000 or 99567/25000 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 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 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 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 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.

Math Planet has customized math courses for high school students.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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