What is 4.885 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 4.885 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 4.885 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.

4.885 as a fraction equals 4885/1000 or 977/200

Now let's break down the steps for converting 4.885 into a fraction.

Step 1:

First, we express 4.885 as a fraction by placing it over 1:
4.885/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
4.885 x 1000/1 x 1000
  =  
4885/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 4885 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 4885 are: 1 5 977 4885
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 4885 and 1000 is: 5

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 5 in this case.
4885 ÷ 5/1000 ÷ 5
  =  
977/200


Great Work! We've just determined that 4.885 as a fraction equals 4885/1000 or 977/200 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 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 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.

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 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.

For fun game based learning try Prodigy Math.

Math Planet has customized math courses for high school students.



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