What is 2.15424 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.15424 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 2.15424 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.

2.15424 as a fraction equals 215424/100000 or 6732/3125

Now let's break down the steps for converting 2.15424 into a fraction.

Step 1:

First, we express 2.15424 as a fraction by placing it over 1:
2.15424/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.15424 x 100000/1 x 100000
  =  
215424/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 215424 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 215424 are: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 128 132 136 144 153 176 187 192 198 204 264 272 288 306 352 374 384 396 408 528 544 561 576 612 704 748 792 816 1056 1088 1122 1152 1224 1408 1496 1584 1632 1683 2112 2176 2244 2448 2992 3168 3264 3366 4224 4488 4896 5984 6336 6528 6732 8976 9792 11968 12672 13464 17952 19584 23936 26928 35904 53856 71808 107712 215424
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 215424 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.
215424 ÷ 32/100000 ÷ 32
  =  
6732/3125


Great Work! We've just determined that 2.15424 as a fraction equals 215424/100000 or 6732/3125 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.

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 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.

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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

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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