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GRE math question example 1

If b a + b = 7 12 , then what does a b equal? A. 5 12 B. 5 7 C. 7 5 D. 7 19 E. 19 12 Solution Because b a + b = 7 12 is a proportion, you can use two properties to transform it. First, use the reciprocal property to get a + b b = 12 7 ; then use the subtraction property to get a + b− b b = 12 − 7 7 . So a b = 5 7 , and answer B is correct.


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