What is 5/6 as a Decimal?
In this article, we will explore how to convert the fraction 5/6 into a decimal. But before we dive into the conversion process, let's take a brief look at what fractions and decimals are.
What are Fractions and Decimals?
Fractions
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into. For example, in the fraction 5/6, the numerator is 5 and the denominator is 6.
Decimals
A decimal, on the other hand, is a way to express a fraction in a different form. It is a number with a fractional part separated from the whole part by a decimal point. Decimals are often used in everyday life, such as when dealing with money or measuring lengths.
Converting 5/6 to a Decimal
To convert the fraction 5/6 to a decimal, we can divide the numerator by the denominator. This can be done using long division or by using a calculator.
Method 1: Long Division
Here's how to convert 5/6 to a decimal using long division:
_____
6 | 5.0000
- 4
1 0
- 1 2
8 0
- 6 0
40
- 36
40
...
As we can see, the decimal expansion of 5/6 goes on indefinitely in a repeating pattern. The result is:
5/6 = 0.8333...
Method 2: Using a Calculator
Alternatively, we can use a calculator to convert 5/6 to a decimal. Simply divide 5 by 6, and the calculator will give us the result:
5 ÷ 6 = 0.8333...
Result
The decimal equivalent of the fraction 5/6 is 0.8333... (where the dots indicate that the decimal expansion goes on indefinitely).
In conclusion, we have successfully converted the fraction 5/6 to a decimal. We can use this decimal in a variety of mathematical applications, such as calculating percentages, ratios, and more.
