What is 0.78625 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.78625 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 0.78625 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.

0.78625 as a fraction equals 78625/100000 or 629/800

Now let's break down the steps for converting 0.78625 into a fraction.

Step 1:

First, we express 0.78625 as a fraction by placing it over 1:
0.78625/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.78625 x 100000/1 x 100000
  =  
78625/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 78625 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 78625 are: 1 5 17 25 37 85 125 185 425 629 925 2125 3145 4625 15725 78625
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 78625 and 100000 is: 125

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 125 in this case.
78625 ÷ 125/100000 ÷ 125
  =  
629/800


Great Work! We've just determined that 0.78625 as a fraction equals 78625/100000 or 629/800 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.

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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.

For fun game based learning try Prodigy Math.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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