What is 0.54752 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.54752 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 0.54752 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.

0.54752 as a fraction equals 54752/100000 or 1711/3125

Now let's break down the steps for converting 0.54752 into a fraction.

Step 1:

First, we express 0.54752 as a fraction by placing it over 1:

0.54752/1

Step 2:

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

0.54752 x 100000/1 x 100000

54752/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 54752 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 54752 are: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1711 1888 3422 6844 13688 27376 54752
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 54752 and 100000 is: 32

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 32 in this case.

54752 ÷ 32/100000 ÷ 32

1711/3125

Great Work! We've just determined that 0.54752 as a fraction equals 54752/100000 or 1711/3125 in its simplest form.

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Frequently asked math questions, including decimals and fractions

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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.

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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 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.

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.

Use Study.com for an entertaining video lesson approach.

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.