What is 1.25904 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.25904 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 1.25904 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.

1.25904 as a fraction equals 125904/100000 or 7869/6250

Now let's break down the steps for converting 1.25904 into a fraction.

Step 1:

First, we express 1.25904 as a fraction by placing it over 1:
1.25904/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.25904 x 100000/1 x 100000
  =  
125904/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 125904 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 125904 are: 1 2 3 4 6 8 12 16 24 43 48 61 86 122 129 172 183 244 258 344 366 488 516 688 732 976 1032 1464 2064 2623 2928 5246 7869 10492 15738 20984 31476 41968 62952 125904
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 125904 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.
125904 ÷ 16/100000 ÷ 16
  =  
7869/6250


Great Work! We've just determined that 1.25904 as a fraction equals 125904/100000 or 7869/6250 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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 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 percentage?

A percentage is a number as a fraction of 100. It is denoted using the '%' symbol. For example, 20% means 20 out of 100.

What is a fraction as a percentage?

A fraction can be converted to a percentage by dividing the numerator by the denominator and multiplying by 100. For example, 3/6 = 1/2 = 0.50 × 100 = 50%.


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.

Math Planet has customized math courses for high school students.

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



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