SAT Math Multiple Choice Practice Question 596: Answer and Explanation

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Question: 596


In the equation above, if a and b are positive integers and is in its simplest reduced form, what is the value of a?

A. 2
B. 9
C. 18
D. 36
E. 40

Correct Answer: B


B The lowest number that both 8 and 10 are factors of is 40. Convert the fractions to a denominator of 40: . There is no factor that 9 and 40 have in common, so the fraction cannot be reduced. The number in place of a in is 9. Be careful! E has the value of b.

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