Mann Mccoy
05/14/2024 · Elementary School
a) \( \frac{2}{3}+\frac{4}{2} \times \frac{5}{1} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( \frac{2}{3} + \frac{4}{2} \times \frac{5}{1} \), we need to follow the order of operations (PEMDAS/BODMAS).
1. **Calculate the multiplication first**:
\[
\frac{4}{2} \times \frac{5}{1} = 2 \times 5 = 10
\]
2. **Now, add the result to \( \frac{2}{3} \)**:
\[
\frac{2}{3} + 10
\]
To add these, we can convert 10 to a fraction with a denominator of 3:
\[
10 = \frac{10 \times 3}{1 \times 3} = \frac{30}{3}
\]
3. **Now add the fractions**:
\[
\frac{2}{3} + \frac{30}{3} = \frac{2 + 30}{3} = \frac{32}{3}
\]
Thus, the final result is:
\[
\frac{32}{3}
\]
Quick Answer
The result is \( \frac{32}{3} \).
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