What is 0.4703 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.4703 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 0.4703 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.

0.4703 as a fraction equals 4703/10000

Now let's break down the steps for converting 0.4703 into a fraction.

Step 1:

First, we express 0.4703 as a fraction by placing it over 1:
0.4703/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.4703 x 10000/1 x 10000
  =  
4703/10000


Great Work! We've just determined that 0.4703 as a fraction equals 4703/10000 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 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 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 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.

How do you convert a fraction to a decimal?

A fraction can be converted to a decimal by dividing the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75. Check out our fraction page for lots of examples on how to convert fractions into decimals.

How do you convert a decimal to a fraction?

To convert a decimal to a fraction, write the decimal as a fraction with a denominator of 10, 100, or 1000 depending on the decimal places, then simplify. For example, 0.75 = 75/100 = 3/4 Reference our decimal to fraction converter page for a detailed breakdown..


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 personalized 1-1 lessons check out Preply.com.

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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