What is 1.04832 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.04832 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 1.04832 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.

1.04832 as a fraction equals 104832/100000 or 3276/3125

Now let's break down the steps for converting 1.04832 into a fraction.

Step 1:

First, we express 1.04832 as a fraction by placing it over 1:
1.04832/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.04832 x 100000/1 x 100000
  =  
104832/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 104832 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 104832 are: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 182 192 208 224 234 252 273 288 312 336 364 384 416 448 468 504 546 576 624 672 728 819 832 896 936 1008 1092 1152 1248 1344 1456 1638 1664 1872 2016 2184 2496 2688 2912 3276 3744 4032 4368 4992 5824 6552 7488 8064 8736 11648 13104 14976 17472 26208 34944 52416 104832
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 104832 and 100000 is: 32

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 32 in this case.
104832 ÷ 32/100000 ÷ 32
  =  
3276/3125


Great Work! We've just determined that 1.04832 as a fraction equals 104832/100000 or 3276/3125 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 are composite numbers?

Composite numbers are numbers that are greater than 1 and have more than two factors. For example, 6 is a composite number because it has factors 1, 2,3 and 6.

What is the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

What is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

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.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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.

For fun game based learning try Prodigy Math.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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