9514 1404 393
Answer:
(a) 29/69
Step-by-step explanation:
It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.
Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.
The reduced fraction is ...
made shots/attempts = 174/414 = 29/69
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Additional comment
As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).
174/414 ≈ 0.42028986
29/69 ≈ 0.42028986 . . . . same value
87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced
17/41 ≈ 0.41453415 . . . . . not equivalent
14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)
