Simplifying Fractions: 1/12 * x - 6 1/2
In this article, we will explore how to simplify the expression 1/12 * x - 6 1/2. Simplifying fractions is an essential skill in mathematics, and it requires a good understanding of basic arithmetic operations and fractions.
Understanding the Expression
The expression 1/12 * x - 6 1/2 consists of three parts:
- 1/12 * x: This is a product of a fraction and a variable x.
- 6 1/2: This is a mixed number, which is a combination of a whole number and a fraction.
Simplifying the Expression
To simplify the expression, we need to follow the order of operations (PEMDAS):
- Multiply 1/12 and x:
1/12 \* x = x/12
- Convert the mixed number 6 1/2 to an improper fraction:
6 1/2 = 13/2
- Rewrite the expression by combining the two parts:
x/12 - 13/2
Simplifying Further
We can simplify the expression further by finding a common denominator for the two fractions. The least common multiple (LCM) of 12 and 2 is 12. So, we can rewrite the expression as:
x/12 - 78/12
Now, we can combine the two fractions:
(x - 78)/12
And that's the simplified expression!
Conclusion
Simplifying fractions requires attention to detail and a good understanding of basic arithmetic operations. By following the order of operations and finding a common denominator, we can simplify complex expressions like 1/12 * x - 6 1/2.
