What is 1.84428 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.84428 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 1.84428 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.

1.84428 as a fraction equals 184428/100000 or 46107/25000

Now let's break down the steps for converting 1.84428 into a fraction.

Step 1:

First, we express 1.84428 as a fraction by placing it over 1:
1.84428/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.84428 x 100000/1 x 100000
  =  
184428/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 184428 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 184428 are: 1 2 3 4 6 9 12 18 36 47 94 109 141 188 218 282 327 423 436 564 654 846 981 1308 1692 1962 3924 5123 10246 15369 20492 30738 46107 61476 92214 184428
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 184428 and 100000 is: 4

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 4 in this case.
184428 ÷ 4/100000 ÷ 4
  =  
46107/25000


Great Work! We've just determined that 1.84428 as a fraction equals 184428/100000 or 46107/25000 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 mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

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 is a percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.


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.

Math Planet has customized math courses for high school students.

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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