What is 1.50172 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.50172 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 1.50172 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.

1.50172 as a fraction equals 150172/100000 or 37543/25000

Now let's break down the steps for converting 1.50172 into a fraction.

Step 1:

First, we express 1.50172 as a fraction by placing it over 1:

1.50172/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

1.50172 x 100000/1 x 100000

150172/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 150172 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 150172 are: 1 2 4 11 22 44 3413 6826 13652 37543 75086 150172
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 150172 and 100000 is: 4

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 4 in this case.

150172 ÷ 4/100000 ÷ 4

37543/25000

Great Work! We've just determined that 1.50172 as a fraction equals 150172/100000 or 37543/25000 in its simplest form.

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Educational math links

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