What is 1.55556 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.55556 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 1.55556 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.

1.55556 as a fraction equals 155556/100000 or 38889/25000

Now let's break down the steps for converting 1.55556 into a fraction.

Step 1:

First, we express 1.55556 as a fraction by placing it over 1:
1.55556/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.55556 x 100000/1 x 100000
  =  
155556/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 155556 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 155556 are: 1 2 3 4 6 9 12 18 29 36 58 87 116 149 174 261 298 348 447 522 596 894 1044 1341 1788 2682 4321 5364 8642 12963 17284 25926 38889 51852 77778 155556
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 155556 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.
155556 ÷ 4/100000 ÷ 4
  =  
38889/25000


Great Work! We've just determined that 1.55556 as a fraction equals 155556/100000 or 38889/25000 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 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 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 percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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.

For personalized 1-1 lessons check out Preply.com.

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

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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