What is 1.27602 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.27602 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 1.27602 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.

1.27602 as a fraction equals 127602/100000 or 63801/50000

Now let's break down the steps for converting 1.27602 into a fraction.

Step 1:

First, we express 1.27602 as a fraction by placing it over 1:
1.27602/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.27602 x 100000/1 x 100000
  =  
127602/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 127602 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 127602 are: 1 2 3 6 9 17 18 27 34 51 54 102 139 153 278 306 417 459 834 918 1251 2363 2502 3753 4726 7089 7506 14178 21267 42534 63801 127602
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 127602 and 100000 is: 2

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 2 in this case.
127602 ÷ 2/100000 ÷ 2
  =  
63801/50000


Great Work! We've just determined that 1.27602 as a fraction equals 127602/100000 or 63801/50000 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 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.

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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

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

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.



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