What is 2.79825 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.79825 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 2.79825 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.

2.79825 as a fraction equals 279825/100000 or 11193/4000

Now let's break down the steps for converting 2.79825 into a fraction.

Step 1:

First, we express 2.79825 as a fraction by placing it over 1:
2.79825/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.79825 x 100000/1 x 100000
  =  
279825/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 279825 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 279825 are: 1 3 5 7 13 15 21 25 35 39 41 65 75 91 105 123 175 195 205 273 287 325 455 525 533 615 861 975 1025 1365 1435 1599 2275 2665 3075 3731 4305 6825 7175 7995 11193 13325 18655 21525 39975 55965 93275 279825
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 279825 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.
279825 ÷ 25/100000 ÷ 25
  =  
11193/4000


Great Work! We've just determined that 2.79825 as a fraction equals 279825/100000 or 11193/4000 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 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?

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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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.

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.

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

Desmos.com has a focus on equation, functions and visual graphs.

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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