What is 0.528 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.528 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 0.528 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.

0.528 as a fraction equals 528/1000 or 66/125

Now let's break down the steps for converting 0.528 into a fraction.

Step 1:

First, we express 0.528 as a fraction by placing it over 1:
0.528/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.528 x 1000/1 x 1000
  =  
528/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 528 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 528 are: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 528 and 1000 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.
528 ÷ 8/1000 ÷ 8
  =  
66/125


Great Work! We've just determined that 0.528 as a fraction equals 528/1000 or 66/125 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 mixed numbers?

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

What are simple or reduced fractions?

Simple or reduced fractions are fractions whose top number (numerator) and bottom number (denominator) cannot be any smaller, while still being a whole number. That is to say, the number can no longer be divided by any number other than one while still being a whole number. 1/3 is a good example of a fully reduced fraction.

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 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.

What is a repeating decimal?

A repeating decimal is a decimal in which a digit or group of digits repeats infinitely. For example, 0.3333... (where 3 repeats forever) and 0.142857142857... (where 142857 repeats) are repeating decimals.

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.

Use Study.com for an entertaining video lesson approach.

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

The Fusion Academy provides one on one math lessons. Yes, one teach to one student for both middle and high school students.



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