What is 0.4864 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.4864 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 0.4864 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.

0.4864 as a fraction equals 4864/10000 or 304/625

Now let's break down the steps for converting 0.4864 into a fraction.

Step 1:

First, we express 0.4864 as a fraction by placing it over 1:
0.4864/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.4864 x 10000/1 x 10000
  =  
4864/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4864 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4864 are: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864
The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000
The GCF of 4864 and 10000 is: 16

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 16 in this case.
4864 ÷ 16/10000 ÷ 16
  =  
304/625


Great Work! We've just determined that 0.4864 as a fraction equals 4864/10000 or 304/625 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 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.

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 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 is a decimal?

A decimal is a number that includes a decimal point, representing a fraction of a whole. For example, 0.5 represents 1/2.

What is a fraction bar?

A fraction bar is the horizontal line that separates the numerator and denominator in a fraction. It also represents division. For example, in 2/4, the fraction bar means 2 divided by 4.


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.

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



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