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 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.


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 fun game based learning try Prodigy Math.

Desmos.com has a focus on equation, functions and visual graphs.

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



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