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 proper fractions?

Proper fractions are fractions where the numerator (the top number) is less than the denominator (the bottom number). Example 2/3

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 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 an absolute value?

The absolute value of a number is its distance from zero. For example, the absolute value of -20 is 20.

What is a terminating decimal?

A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.35 and 3.5 are terminating decimals.

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.

Build math skills with Brilliant.org interactive problem solving puzzles designed for adults. Algebra, geometry, logic, and probability are covered with video guides.

For a structured learning approach with video lessons try the Khan Academy.

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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