What is 2.59424 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.59424 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 2.59424 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.

2.59424 as a fraction equals 259424/100000 or 8107/3125

Now let's break down the steps for converting 2.59424 into a fraction.

Step 1:

First, we express 2.59424 as a fraction by placing it over 1:
2.59424/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.59424 x 100000/1 x 100000
  =  
259424/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 259424 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 259424 are: 1 2 4 8 11 16 22 32 44 67 88 121 134 176 242 268 352 484 536 737 968 1072 1474 1936 2144 2948 3872 5896 8107 11792 16214 23584 32428 64856 129712 259424
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 259424 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.
259424 ÷ 32/100000 ÷ 32
  =  
8107/3125


Great Work! We've just determined that 2.59424 as a fraction equals 259424/100000 or 8107/3125 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

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 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 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.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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