What is 7.14615 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 7.14615 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 7.14615 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.

7.14615 as a fraction equals 714615/100000 or 142923/20000

Now let's break down the steps for converting 7.14615 into a fraction.

Step 1:

First, we express 7.14615 as a fraction by placing it over 1:
7.14615/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
7.14615 x 100000/1 x 100000
  =  
714615/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 714615 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 714615 are: 1 3 5 11 15 33 55 61 71 165 183 213 305 355 671 781 915 1065 2013 2343 3355 3905 4331 10065 11715 12993 21655 47641 64965 142923 238205 714615
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 714615 and 100000 is: 5

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 5 in this case.
714615 ÷ 5/100000 ÷ 5
  =  
142923/20000


Great Work! We've just determined that 7.14615 as a fraction equals 714615/100000 or 142923/20000 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 simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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.

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.

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.

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

For a self-study courses for Algebra. We recommend Purple Math.

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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