What is 0.86 as a fraction?

In this article, we will guide you step by step through the process of converting the decimal 0.86 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 0.86 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.

0.86 as a fraction equals 86/100 or 43/50

Now let's break down the steps for converting 0.86 into a fraction.

Step 1:

First, we express 0.86 as a fraction by placing it over 1:
0.86/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.86 x 100/1 x 100
  =  
86/100

Step 3:

Next, we find the Greatest Common Factor (GCF) for 86 and 100. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 86 are: 1 2 43 86
The factors of 100 are: 1 2 4 5 10 20 25 50 100
The GCF of 86 and 100 is: 2

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 2 in this case.
86 ÷ 2/100 ÷ 2
  =  
43/50


Great Work! We've just determined that 0.86 as a fraction equals 86/100 or 43/50 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.

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 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 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 ratio?

A ratio is a relationship between two numbers that shows how many times one value is contained within another. For example, the ratio 3:1 means there are 3 parts of one quantity for every 1 part of another.

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.

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.

For fun game based learning try Prodigy Math.

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

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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