What is 0.04572 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.04572 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 0.04572 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.

0.04572 as a fraction equals 4572/100000 or 1143/25000

Now let's break down the steps for converting 0.04572 into a fraction.

Step 1:

First, we express 0.04572 as a fraction by placing it over 1:

0.04572/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.04572 x 100000/1 x 100000

4572/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4572 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4572 are: 1 2 3 4 6 9 12 18 36 127 254 381 508 762 1143 1524 2286 4572
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 4572 and 100000 is: 4

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 4 in this case.

4572 ÷ 4/100000 ÷ 4

1143/25000

Great Work! We've just determined that 0.04572 as a fraction equals 4572/100000 or 1143/25000 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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A mixed number is made up of a whole number and a proper fraction.

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Yards, feet, and inches are all part of the Imperial measurement system, so a ¹/₄ of an inch is described as an imperial fraction.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples include π (pi) and √2 (the square root of 2).

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 mean (average)?

The mean, or average, is calculated by adding all the numbers in a set and dividing by the total number of values. For example, the mean of 3, 4, and 5 is (3 + 4 + 5)/3 = 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.

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

For personalized 1-1 lessons check out Preply.com.

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