What is 0.60505 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.60505 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 0.60505 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.

0.60505 as a fraction equals 60505/100000 or 12101/20000

Now let's break down the steps for converting 0.60505 into a fraction.

Step 1:

First, we express 0.60505 as a fraction by placing it over 1:
0.60505/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.60505 x 100000/1 x 100000
  =  
60505/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 60505 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 60505 are: 1 5 12101 60505
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 60505 and 100000 is: 5

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 5 in this case.
60505 ÷ 5/100000 ÷ 5
  =  
12101/20000


Great Work! We've just determined that 0.60505 as a fraction equals 60505/100000 or 12101/20000 in its simplest form.

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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.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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