What is 3.98256 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.98256 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 3.98256 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.

3.98256 as a fraction equals 398256/100000 or 24891/6250

Now let's break down the steps for converting 3.98256 into a fraction.

Step 1:

First, we express 3.98256 as a fraction by placing it over 1:

3.98256/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

3.98256 x 100000/1 x 100000

398256/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 398256 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 398256 are: 1 2 3 4 6 8 12 16 24 48 8297 16594 24891 33188 49782 66376 99564 132752 199128 398256
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 398256 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.

398256 ÷ 16/100000 ÷ 16

24891/6250

Great Work! We've just determined that 3.98256 as a fraction equals 398256/100000 or 24891/6250 in its simplest form.

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Examples of converting decimals to fractions

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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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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 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 fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, ³/₆ = ¹/₂ = 0.50 × 100 = 50%.

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 self-study courses for Algebra. We recommend Purple Math.

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