Question
Simplify by using order of operations: \[ \frac{10}{2+3}+\frac{6+3}{3} \]
Ask by Clark Boyd. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[ 5 \]
Solution
To simplify the expression \(\frac{10}{2+3} + \frac{6+3}{3}\), follow the order of operations (PEMDAS/BODMAS):
1. **Parentheses/Brackets**:
- Calculate inside the first denominator: \(2 + 3 = 5\)
- Calculate inside the second numerator: \(6 + 3 = 9\)
The expression now becomes:
\[
\frac{10}{5} + \frac{9}{3}
\]
2. **Division**:
- \( \frac{10}{5} = 2 \)
- \( \frac{9}{3} = 3 \)
3. **Addition**:
- \( 2 + 3 = 5 \)
**Final Answer:**
\[ 5 \]
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Simplify this solution Bonus Knowledge
To simplify the expression \(\frac{10}{2+3}+\frac{6+3}{3}\), we start with the operations in the parentheses: 1. For the first part: \(2 + 3 = 5\) So, \(\frac{10}{2+3} = \frac{10}{5} = 2\). 2. For the second part: \(6 + 3 = 9\) So, \(\frac{6+3}{3} = \frac{9}{3} = 3\). Now we combine the results: \[2 + 3 = 5\] Therefore, the simplified expression is \(5\).
