Fraction Simplification: Understanding 1 - 1/6
In this article, we will explore the concept of fraction simplification, specifically focusing on the expression 1 - 1/6.
What is Fraction Simplification?
Fraction simplification is the process of reducing a fraction to its simplest form. This means that we want to express the fraction in its most basic form, without any unnecessary complexity.
Evaluating 1 - 1/6
Let's start by evaluating the expression 1 - 1/6. To do this, we need to understand the concept of mixed numbers and how to subtract fractions.
A mixed number is a combination of a whole number and a fraction. For example, 1 1/2 is a mixed number where 1 is the whole number and 1/2 is the fraction.
To subtract 1/6 from 1, we can start by converting the mixed number 1 to an improper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. In this case, we can convert 1 to an improper fraction by multiplying the numerator and denominator by 6:
1 = 6/6
Now we can subtract 1/6 from 6/6:
6/6 - 1/6 = 5/6
So, 1 - 1/6 is equal to 5/6.
Simplifying the Result
Now that we have evaluated the expression, let's simplify the result. In this case, the fraction 5/6 is already in its simplest form, so we don't need to simplify it further.
Conclusion
In conclusion, the expression 1 - 1/6 is equal to 5/6. We evaluated the expression by converting the mixed number 1 to an improper fraction and then subtracting 1/6 from it. Finally, we simplified the result to get the final answer.
