What is 1.7472 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.7472 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 1.7472 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.

1.7472 as a fraction equals 17472/10000 or 1092/625

Now let's break down the steps for converting 1.7472 into a fraction.

Step 1:

First, we express 1.7472 as a fraction by placing it over 1:

1.7472/1

Step 2:

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

1.7472 x 10000/1 x 10000

17472/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 17472 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 17472 are: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 17472 and 10000 is: 16

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 16 in this case.

17472 ÷ 16/10000 ÷ 16

1092/625

Great Work! We've just determined that 1.7472 as a fraction equals 17472/10000 or 1092/625 in its simplest form.

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