What is 1.14075 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.14075 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 1.14075 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.

1.14075 as a fraction equals 114075/100000 or 4563/4000

Now let's break down the steps for converting 1.14075 into a fraction.

Step 1:

First, we express 1.14075 as a fraction by placing it over 1:
1.14075/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.14075 x 100000/1 x 100000
  =  
114075/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 114075 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 114075 are: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 169 195 225 325 351 507 585 675 845 975 1521 1755 2535 2925 4225 4563 7605 8775 12675 22815 38025 114075
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 114075 and 100000 is: 25

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 25 in this case.
114075 ÷ 25/100000 ÷ 25
  =  
4563/4000


Great Work! We've just determined that 1.14075 as a fraction equals 114075/100000 or 4563/4000 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.

Desmos.com has a focus on equation, functions and visual graphs.

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Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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