What is 3.25248 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 3.25248 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 3.25248 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.

3.25248 as a fraction equals 325248/100000 or 10164/3125

Now let's break down the steps for converting 3.25248 into a fraction.

Step 1:

First, we express 3.25248 as a fraction by placing it over 1:
3.25248/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
3.25248 x 100000/1 x 100000
  =  
325248/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 325248 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 325248 are: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 121 128 132 154 168 176 192 224 231 242 264 308 336 352 363 384 448 462 484 528 616 672 704 726 847 896 924 968 1056 1232 1344 1408 1452 1694 1848 1936 2112 2464 2541 2688 2904 3388 3696 3872 4224 4928 5082 5808 6776 7392 7744 9856 10164 11616 13552 14784 15488 20328 23232 27104 29568 40656 46464 54208 81312 108416 162624 325248
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 325248 and 100000 is: 32

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 32 in this case.
325248 ÷ 32/100000 ÷ 32
  =  
10164/3125


Great Work! We've just determined that 3.25248 as a fraction equals 325248/100000 or 10164/3125 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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..

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.

For personalized 1-1 lessons check out Preply.com.

For fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.



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