What is 7.29825 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 7.29825 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 7.29825 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.

7.29825 as a fraction equals 729825/100000 or 29193/4000

Now let's break down the steps for converting 7.29825 into a fraction.

Step 1:

First, we express 7.29825 as a fraction by placing it over 1:
7.29825/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
7.29825 x 100000/1 x 100000
  =  
729825/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 729825 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 729825 are: 1 3 5 15 25 37 75 111 185 263 555 789 925 1315 2775 3945 6575 9731 19725 29193 48655 145965 243275 729825
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 729825 and 100000 is: 25

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 25 in this case.
729825 ÷ 25/100000 ÷ 25
  =  
29193/4000


Great Work! We've just determined that 7.29825 as a fraction equals 729825/100000 or 29193/4000 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 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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into 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.

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

Math Planet has customized math courses for high school students.

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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