What is 0.472 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.472 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 0.472 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.

0.472 as a fraction equals 472/1000 or 59/125

Now let's break down the steps for converting 0.472 into a fraction.

Step 1:

First, we express 0.472 as a fraction by placing it over 1:
0.472/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.472 x 1000/1 x 1000
  =  
472/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 472 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 472 are: 1 2 4 8 59 118 236 472
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 472 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.
472 ÷ 8/1000 ÷ 8
  =  
59/125


Great Work! We've just determined that 0.472 as a fraction equals 472/1000 or 59/125 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 whole numbers?

Whole numbers are numbers 0, 1, 2, 3, etc. Whole numbers do not have a decimal point or fractional part. Whole numbers are always positive. Negative numbers are not considered whole.

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.

Why is there a need to convert decimals to fractions anyway?

The U.S. is one of a few countries worldwide that still uses the Imperial system of measurement, which is a fractional measurement system, where items are measured in feet, inches, pounds, ounces, yards, and so on. The majority of the rest of the world uses the metric system, which is a decimal measurement system, where items are measured in cm, meters, grams, kilos, and so on.

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 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 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.


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.

For early learners we recommend IXL Math. The math courses range from Pre-K to grade 12.

Math Planet has customized math courses for high school students.

Tailored for college students Paul's Online Math Notes let's students independent study for their math classes. It's also a free service.



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