What is 0.4967 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.4967 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 0.4967 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.

0.4967 as a fraction equals 4967/10000

Now let's break down the steps for converting 0.4967 into a fraction.

Step 1:

First, we express 0.4967 as a fraction by placing it over 1:
0.4967/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.4967 x 10000/1 x 10000
  =  
4967/10000


Great Work! We've just determined that 0.4967 as a fraction equals 4967/10000 in its simplest form.

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Examples of converting decimals to fractions

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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 imperial fractions?

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.

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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

What is a decimal as a percentage?

A decimal can be converted to a percentage by multiplying it by 100 and adding a percent sign. For example, 0.75 × 100 = 75%.


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 personalized 1-1 lessons check out Preply.com.

For a UK based curriculum the BBC.co.uk provides a useful classroom aid to math lessons.



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