What is 1.88945 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.88945 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 1.88945 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.

1.88945 as a fraction equals 188945/100000 or 37789/20000

Now let's break down the steps for converting 1.88945 into a fraction.

Step 1:

First, we express 1.88945 as a fraction by placing it over 1:
1.88945/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.88945 x 100000/1 x 100000
  =  
188945/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 188945 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 188945 are: 1 5 23 31 53 115 155 265 713 1219 1643 3565 6095 8215 37789 188945
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 188945 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.
188945 ÷ 5/100000 ÷ 5
  =  
37789/20000


Great Work! We've just determined that 1.88945 as a fraction equals 188945/100000 or 37789/20000 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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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.

Math Planet has customized math courses for high school students.

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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