Calculate the following expression:
\[
\frac{9}{35} \times \frac{7}{16} \times \frac{20}{21}
\]
Show your work.
Answer (2)
35 9 ⋅ 16 7 1 ⋅ 2 1 3 20 = 35 9 ⋅ 1 6 4 1 ⋅ 3 2 0 5 = 35 9 3 ⋅ 4 1 ⋅ 3 1 5 = 3 5 7 3 ⋅ 4 1 ⋅ 1 5 1 = 7 3 ⋅ 4 1 ⋅ 1 1 = 7 ⋅ 4 ⋅ 1 3 ⋅ 1 ⋅ 1 = 28 3
The product of the fractions 35 9 × 16 7 × 21 20 simplifies to 28 3 . This is achieved by multiplying the numerators and denominators and then simplifying the resulting fraction. The final result is 28 3 .
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