Simplifying Fractions: 5-3/7--3
In this article, we will explore the process of simplifying a complex fraction: 5-3/7--3. To simplify this fraction, we need to follow the order of operations and apply some basic fraction rules.
Step 1: Simplify the Inner Fractions
The given fraction is 5-3/7--3. Let's break it down into smaller parts:
- 3/7 is a simple fraction
- -3 is an integer
- 5 is an integer
Step 2: Simplify the Outer Fraction
Now, let's focus on the outer fraction: 5 - (3/7) - 3. To simplify this, we need to follow the order of operations (PEMDAS):
- Subtract 3/7 from 5: 5 - (3/7) = 5 - 0.43 = 4.57
- Subtract 3 from the result: 4.57 - 3 = 1.57
The Simplified Answer
So, the simplified form of the given fraction is:
5-3/7--3 = 1.57
Conclusion
Simplifying fractions can be a complex process, but by breaking it down into smaller parts and following the order of operations, we can arrive at the simplified answer. In this case, the simplified form of 5-3/7--3 is 1.57.
