What is 3.0288 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.0288 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 3.0288 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.

3.0288 as a fraction equals 30288/10000 or 1893/625

Now let's break down the steps for converting 3.0288 into a fraction.

Step 1:

First, we express 3.0288 as a fraction by placing it over 1:
3.0288/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.0288 x 10000/1 x 10000
  =  
30288/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 30288 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 30288 are: 1 2 3 4 6 8 12 16 24 48 631 1262 1893 2524 3786 5048 7572 10096 15144 30288
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 30288 and 10000 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.
30288 ÷ 16/10000 ÷ 16
  =  
1893/625


Great Work! We've just determined that 3.0288 as a fraction equals 30288/10000 or 1893/625 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 does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.


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.

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.

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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