What is 0.384 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.384 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 0.384 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.

0.384 as a fraction equals 384/1000 or 48/125

Now let's break down the steps for converting 0.384 into a fraction.

Step 1:

First, we express 0.384 as a fraction by placing it over 1:
0.384/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.384 x 1000/1 x 1000
  =  
384/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 384 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 384 are: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 384 and 1000 is: 8

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 8 in this case.
384 ÷ 8/1000 ÷ 8
  =  
48/125


Great Work! We've just determined that 0.384 as a fraction equals 384/1000 or 48/125 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 improper fractions?

Improper fractions are fractions where the numerator (the top number) is greater than or equal to the denominator (the bottom number). Example 3/2

What does the Greatest Common Factor (GCF) mean?

The greatest common factor is also referred to as the highest common factor. In math, this refers to the greatest common divisor of two or more whole numbers (also known as integers). In simple terms, this is the biggest number that can divide evenly into two or more numbers. For example, the GCF for 4 and 8 is 4.

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 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.

What is a median?

The median is the mid value in a set of numbers when the numbers are arranged in order. If there are two middle numbers, the median is the average of those both those numbers.

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.

The Art of Problem Solving provides courses tailored for school students including elementary, middle and high school.

For a self-study courses for Algebra. We recommend Purple Math.

Cliff Notes is tailored for independent study for the SAT, ACT, GMAT, GRE, and AP exams. It's a free service.



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