What is 0.65424 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.65424 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 0.65424 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.

0.65424 as a fraction equals 65424/100000 or 4089/6250

Now let's break down the steps for converting 0.65424 into a fraction.

Step 1:

First, we express 0.65424 as a fraction by placing it over 1:

0.65424/1

Step 2:

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

0.65424 x 100000/1 x 100000

65424/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 65424 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 65424 are: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 232 282 348 376 464 564 696 752 1128 1363 1392 2256 2726 4089 5452 8178 10904 16356 21808 32712 65424
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 65424 and 100000 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.

65424 ÷ 16/100000 ÷ 16

4089/6250

Great Work! We've just determined that 0.65424 as a fraction equals 65424/100000 or 4089/6250 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

What is an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

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What is a fraction bar?

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Educational math links

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