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

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What are improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example ³/₂

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 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 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 proportion?

A proportion is an equation that states that two ratios are equal. For example, ¹/₂ = ²/₄ shows a proportional relationship.

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.

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

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