What is 2.8685 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 2.8685 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 2.8685 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.

2.8685 as a fraction equals 28685/10000 or 5737/2000

Now let's break down the steps for converting 2.8685 into a fraction.

Step 1:

First, we express 2.8685 as a fraction by placing it over 1:
2.8685/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
2.8685 x 10000/1 x 10000
  =  
28685/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 28685 and 10000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 28685 are: 1 5 5737 28685
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 28685 and 10000 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.
28685 ÷ 5/10000 ÷ 5
  =  
5737/2000


Great Work! We've just determined that 2.8685 as a fraction equals 28685/10000 or 5737/2000 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 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 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 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.

What is a decimal place?

A decimal place refers to the position of a digit to the right of the decimal point. For example, in 3.141, the digit 1 is in the thousandths place.


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

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

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



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