Solve and simplify:
\[
\frac{2}{3} \times \frac{3}{5} \times \frac{5}{10} \times \frac{6}{8}
\]
A: \(\frac{1}{5}\)
B: \(\frac{1}{2}\)
C: \(\frac{3}{20}\)
D: \(\frac{1}{4}\)
Answer (2)
3 2 ⋅ 5 3 ⋅ 10 5 ⋅ 8 6 = 3 1 2 ⋅ 5 1 3 1 ⋅ 10 5 1 ⋅ 8 6 = 10 2 1 ⋅ 8 4 6 = 10 ⋅ 4 2 6 3 = 20 3 A n s w er : C
The expression 3 2 × 5 3 × 10 5 × 8 6 simplifies to 20 3 . So, the correct answer is option C. This was obtained by multiplying the fractions, simplifying the result, and finding the greatest common factor.
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