What is 1.25584 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.25584 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 1.25584 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.

1.25584 as a fraction equals 125584/100000 or 7849/6250

Now let's break down the steps for converting 1.25584 into a fraction.

Step 1:

First, we express 1.25584 as a fraction by placing it over 1:
1.25584/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.25584 x 100000/1 x 100000
  =  
125584/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 125584 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 125584 are: 1 2 4 8 16 47 94 167 188 334 376 668 752 1336 2672 7849 15698 31396 62792 125584
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 125584 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.
125584 ÷ 16/100000 ÷ 16
  =  
7849/6250


Great Work! We've just determined that 1.25584 as a fraction equals 125584/100000 or 7849/6250 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 prime numbers?

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 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.

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 decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

For a self-study courses for Algebra. We recommend Purple Math.

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



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