What is 1.04304 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.04304 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 1.04304 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.

1.04304 as a fraction equals 104304/100000 or 6519/6250

Now let's break down the steps for converting 1.04304 into a fraction.

Step 1:

First, we express 1.04304 as a fraction by placing it over 1:
1.04304/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.04304 x 100000/1 x 100000
  =  
104304/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 104304 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 104304 are: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 424 492 636 656 848 984 1272 1968 2173 2544 4346 6519 8692 13038 17384 26076 34768 52152 104304
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 104304 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.
104304 ÷ 16/100000 ÷ 16
  =  
6519/6250


Great Work! We've just determined that 1.04304 as a fraction equals 104304/100000 or 6519/6250 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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

Desmos.com has a focus on equation, functions and visual graphs.

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



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