What is 2.95968 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.95968 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 2.95968 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.

2.95968 as a fraction equals 295968/100000 or 9249/3125

Now let's break down the steps for converting 2.95968 into a fraction.

Step 1:

First, we express 2.95968 as a fraction by placing it over 1:
2.95968/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.95968 x 100000/1 x 100000
  =  
295968/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 295968 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 295968 are: 1 2 3 4 6 8 12 16 24 32 48 96 3083 6166 9249 12332 18498 24664 36996 49328 73992 98656 147984 295968
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 295968 and 100000 is: 32

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 32 in this case.
295968 ÷ 32/100000 ÷ 32
  =  
9249/3125


Great Work! We've just determined that 2.95968 as a fraction equals 295968/100000 or 9249/3125 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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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.

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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.

Math Is Fun covers math topics including decimals, fractions, data, money, algebra, and calculus. Courses are designed for students from Kindergarten to Grade 12.

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