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 are whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

What are proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 shows a proportional relationship.

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.


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.

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

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.



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