What is 0.55125 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.55125 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 0.55125 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.

0.55125 as a fraction equals 55125/100000 or 441/800

Now let's break down the steps for converting 0.55125 into a fraction.

Step 1:

First, we express 0.55125 as a fraction by placing it over 1:
0.55125/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.55125 x 100000/1 x 100000
  =  
55125/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 55125 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 55125 are: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 735 875 1125 1225 1575 2205 2625 3675 6125 7875 11025 18375 55125
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 55125 and 100000 is: 125

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 125 in this case.
55125 ÷ 125/100000 ÷ 125
  =  
441/800


Great Work! We've just determined that 0.55125 as a fraction equals 55125/100000 or 441/800 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 are imperial fractions?

Yards, feet, and inches are all part of the Imperial measurement system, so a 1/4 of an inch is described as an imperial fraction.

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 prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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.

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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