What is 0.4717 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.4717 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 0.4717 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.

0.4717 as a fraction equals 4717/10000

Now let's break down the steps for converting 0.4717 into a fraction.

Step 1:

First, we express 0.4717 as a fraction by placing it over 1:
0.4717/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.4717 x 10000/1 x 10000
  =  
4717/10000


Great Work! We've just determined that 0.4717 as a fraction equals 4717/10000 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 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 the Least Common Multiple (LCM)?

The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the given numbers. For example, the LCM of 4 and 6 is 12.

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 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 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.

What is a percentage as a fraction?

A percentage can be written as a fraction by placing it over 100 and simplifying. For example, 20% = 20/100 = 1/5.


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

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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