What is 2.94294 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.94294 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 2.94294 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.

2.94294 as a fraction equals 294294/100000 or 147147/50000

Now let's break down the steps for converting 2.94294 into a fraction.

Step 1:

First, we express 2.94294 as a fraction by placing it over 1:

2.94294/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

2.94294 x 100000/1 x 100000

294294/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 294294 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 294294 are: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 343 429 462 539 546 637 686 858 1001 1029 1078 1274 1617 1911 2002 2058 3003 3234 3773 3822 4459 6006 7007 7546 8918 11319 13377 14014 21021 22638 26754 42042 49049 98098 147147 294294
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 294294 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.

294294 ÷ 2/100000 ÷ 2

147147/50000

Great Work! We've just determined that 2.94294 as a fraction equals 294294/100000 or 147147/50000 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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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.

Use Study.com for an entertaining video lesson approach.

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

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