What is 0.48488 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.48488 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 0.48488 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.

0.48488 as a fraction equals 48488/100000 or 6061/12500

Now let's break down the steps for converting 0.48488 into a fraction.

Step 1:

First, we express 0.48488 as a fraction by placing it over 1:
0.48488/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.48488 x 100000/1 x 100000
  =  
48488/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 48488 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 48488 are: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 551 638 836 1102 1276 1672 2204 2552 4408 6061 12122 24244 48488
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 48488 and 100000 is: 8

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 8 in this case.
48488 ÷ 8/100000 ÷ 8
  =  
6061/12500


Great Work! We've just determined that 0.48488 as a fraction equals 48488/100000 or 6061/12500 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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