What is 4.32432 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.32432 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 4.32432 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.

4.32432 as a fraction equals 432432/100000 or 27027/6250

Now let's break down the steps for converting 4.32432 into a fraction.

Step 1:

First, we express 4.32432 as a fraction by placing it over 1:

4.32432/1

Step 2:

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

4.32432 x 100000/1 x 100000

432432/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 432432 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 432432 are: 1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 52 54 56 63 66 72 77 78 84 88 91 99 104 108 112 117 126 132 143 144 154 156 168 176 182 189 198 208 216 231 234 252 264 273 286 297 308 312 336 351 364 378 396 429 432 462 468 504 528 546 572 594 616 624 693 702 728 756 792 819 858 924 936 1001 1008 1092 1144 1188 1232 1287 1386 1404 1456 1512 1584 1638 1716 1848 1872 2002 2079 2184 2288 2376 2457 2574 2772 2808 3003 3024 3276 3432 3696 3861 4004 4158 4368 4752 4914 5148 5544 5616 6006 6552 6864 7722 8008 8316 9009 9828 10296 11088 12012 13104 15444 16016 16632 18018 19656 20592 24024 27027 30888 33264 36036 39312 48048 54054 61776 72072 108108 144144 216216 432432
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 432432 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.

432432 ÷ 16/100000 ÷ 16

27027/6250

Great Work! We've just determined that 4.32432 as a fraction equals 432432/100000 or 27027/6250 in its simplest form.

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Frequently asked math questions, including decimals and fractions

Read the following section to help deepen your understanding of basic math concepts.

What are mixed numbers?

A mixed number is made up of a whole number and a proper fraction.

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

What are rational numbers?

A rational number is any number that can be expressed as the fraction of two integers, such as ³/₄, ^-5/₂, or 0.75.

What is a square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

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