What is 2.37888 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.37888 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 2.37888 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.

2.37888 as a fraction equals 237888/100000 or 7434/3125

Now let's break down the steps for converting 2.37888 into a fraction.

Step 1:

First, we express 2.37888 as a fraction by placing it over 1:
2.37888/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.37888 x 100000/1 x 100000
  =  
237888/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 237888 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 237888 are: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 64 72 84 96 112 118 126 144 168 177 192 224 236 252 288 336 354 413 448 472 504 531 576 672 708 826 944 1008 1062 1239 1344 1416 1652 1888 2016 2124 2478 2832 3304 3717 3776 4032 4248 4956 5664 6608 7434 8496 9912 11328 13216 14868 16992 19824 26432 29736 33984 39648 59472 79296 118944 237888
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 237888 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.
237888 ÷ 32/100000 ÷ 32
  =  
7434/3125


Great Work! We've just determined that 2.37888 as a fraction equals 237888/100000 or 7434/3125 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 proper fractions?

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

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

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 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.


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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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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