What is 1.25048 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 1.25048 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 1.25048 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.

1.25048 as a fraction equals 125048/100000 or 15631/12500

Now let's break down the steps for converting 1.25048 into a fraction.

Step 1:

First, we express 1.25048 as a fraction by placing it over 1:
1.25048/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
1.25048 x 100000/1 x 100000
  =  
125048/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 125048 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 125048 are: 1 2 4 7 8 11 14 22 28 29 44 49 56 58 77 88 98 116 154 196 203 232 308 319 392 406 539 616 638 812 1078 1276 1421 1624 2156 2233 2552 2842 4312 4466 5684 8932 11368 15631 17864 31262 62524 125048
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 125048 and 100000 is: 8

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 8 in this case.
125048 ÷ 8/100000 ÷ 8
  =  
15631/12500


Great Work! We've just determined that 1.25048 as a fraction equals 125048/100000 or 15631/12500 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 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 an exponent?

An exponent refers to the number of times a number (the base) is multiplied by itself. For example, 2³ means 2 × 2 × 2 = 8.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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 are rounding decimals?

Rounding decimals means adjusting a number to a given place value. For example, rounding 3.186 to two decimal places gives 3.19. Note that last digit which is 6 is closer to 10 than 1 so the digit before it which is 8 move up a value to 9.

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

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.



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