What is 1/6×18
The Correct Answer and Explanation is :
To calculate ( \frac{1}{6} \times 18 ), we can follow these steps:
- Understanding the Fraction: The fraction ( \frac{1}{6} ) represents one part of a whole divided into six equal parts. Therefore, ( \frac{1}{6} ) of any number is the result of dividing that number by 6.
- Multiplication: We can express the multiplication in a more straightforward manner:
[
\frac{1}{6} \times 18 = \frac{18}{6}
] - Dividing the Numbers: Now, we need to divide 18 by 6. When we do this, we find:
[
18 \div 6 = 3
]
So, ( \frac{1}{6} \times 18 = 3 ).
Explanation
This operation is rooted in the concept of fractions and multiplication. When you multiply a fraction by a whole number, you are essentially determining how many parts of the fraction fit into the whole number. In this case, ( \frac{1}{6} ) of 18 means you want to find out what one-sixth of 18 is.
The fraction ( \frac{1}{6} ) tells us that the whole (in this case, 18) is divided into six equal parts. Each part would thus be ( \frac{18}{6} ). When we calculate ( \frac{18}{6} ), we can think of it in practical terms. For example, if you had 18 candies and you wanted to share them with six friends equally, each friend would get 3 candies.
Using fractions is a fundamental skill in mathematics that helps in various real-life scenarios, from cooking and dividing resources to managing finances and understanding statistics. Mastering how to work with fractions allows you to tackle more complex mathematical problems with confidence, making it an essential aspect of math education.