What is 0.285 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.285 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 0.285 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.

0.285 as a fraction equals 285/1000 or 57/200

Now let's break down the steps for converting 0.285 into a fraction.

Step 1:

First, we express 0.285 as a fraction by placing it over 1:
0.285/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.285 x 1000/1 x 1000
  =  
285/1000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 285 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 285 are: 1 3 5 15 19 57 95 285
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The GCF of 285 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.
285 ÷ 5/1000 ÷ 5
  =  
57/200


Great Work! We've just determined that 0.285 as a fraction equals 285/1000 or 57/200 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 are prime numbers?

Prime numbers are numbers greater than 1 that have only two factors: 1 and themselves. Examples include 2, 3, 5, 7, 11, 13, 17 and so on.

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 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 square root?

The square root of a number is a value when multiplied by itself, gives that number. For example, the square root of 9 is 3 because 3 × 3 = 9.

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.


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.

Desmos.com has a focus on equation, functions and visual graphs.

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



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