What is 0.24915 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.24915 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 0.24915 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.

0.24915 as a fraction equals 24915/100000 or 4983/20000

Now let's break down the steps for converting 0.24915 into a fraction.

Step 1:

First, we express 0.24915 as a fraction by placing it over 1:
0.24915/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.24915 x 100000/1 x 100000
  =  
24915/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 24915 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 24915 are: 1 3 5 11 15 33 55 151 165 453 755 1661 2265 4983 8305 24915
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 24915 and 100000 is: 5

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 5 in this case.
24915 ÷ 5/100000 ÷ 5
  =  
4983/20000


Great Work! We've just determined that 0.24915 as a fraction equals 24915/100000 or 4983/20000 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 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 are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as 3/4, -5/2, or 0.75.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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.

For a structured learning approach with video lessons try the Khan Academy.

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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