What is 0.10080 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.10080 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 0.10080 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.

0.10080 as a fraction equals 10080/100000 or 63/625

Here’s a clear and detailed solution for converting 0.10080 to a fraction:

Step 1:

First, we write 0.10080 in fraction form:
0.10080/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.10080 x 100000/1 x 100000
  =  
10080/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 10080 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 10080 are: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080
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 10080 and 100000 is: 160.

Step 4:

To simplify the fraction, we divide both the numerator and denominator by their greatest common factor (GCF), which is 160 in this case.
10080 ÷ 160/100000 ÷ 160
  =  
63/625


Nice job! We've successfully determined that 0.10080 as a fraction equals 10080/100000 or 63/625 in its simplest form.

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