When we express a fraction as a decimal, we are converting it into a decimal representation. In the case of 1/6 as a decimal, we want to find the decimal equivalent of the fraction 1/6.
The answer to 1/6 as a decimal is 0.166666... (repeating).
There are multiple methods to solve 1/6 as a decimal. Let's explore two common methods:
To solve 1/6 as a decimal using long division, follow these steps:
0.1
------
6 | 1.0
0.1
------
6 | 1.0
-0
---
10
0.16
------
6 | 1.00
-0
---
10
-6
---
40
To solve 1/6 as a decimal using this method, follow these steps:
1/6 = (1 * 166) / (6 * 166) = 166/996
166 ÷ 996 = 0.166666... (repeating)
Example 1:
1/6 = 0.166666... (repeating)
Example 2:
2/6 = 1/3 = 0.333333... (repeating)
Example 3:
3/6 = 1/2 = 0.5
Example 4:
4/6 = 2/3 = 0.666666... (repeating)
Example 5:
5/6 = 0.833333... (repeating)
In each of these examples, we can see that the decimal representation of the fraction 1/6 is 0.166666... (repeating).
In mathematics, fractions represent a part of a whole or a division of quantities. They are used to express numbers that are not whole numbers or integers. Fractions consist of a numerator (the number above the fraction line) and a denominator (the number below the fraction line). The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole.
The symbols used to represent fractions are the fraction bar ("/") and the division slash ("÷"). The fraction bar is commonly used in written form, while the division slash is often used in calculators or computer programs.
There are several types of fractions, including:
A fraction consists of two components:
For example, in the fraction 3/5, 3 is the numerator and 5 is the denominator.
A decimal is a way of representing numbers that are not whole numbers or integers. It is a base-10 positional numeral system where each digit represents a different power of 10. Decimals are written using a decimal point to separate the whole number part from the fractional part.
The symbol used to represent a decimal is a decimal point ("."). For example, the decimal representation of 1/2 is 0.5.
A decimal consists of two components:
For example, in the decimal 3.14, 3 is the whole number part and 14 is the fractional part.
There are several types of decimals, including:
As mentioned earlier, the decimal representation of 1/6 is 0.166666... (repeating).