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In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red? Express your answer as a simplified fraction.

Respuesta :

Answer:   11/24

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Explanation:

Let's say we had 12 skateboards and 12 scooters. I'm picking 12 because 4*3 = 12 after multiplying the denominators. Doing this trick will mean we end up with whole number results instead of decimals.

If we had 12 skateboards, then (1/4)*12 = 3 of them are red. Having 12 scooters means (2/3)*12 = 8 scooters are red.

Add up the counts of each red item to get 3+8 = 11 red items out of 12+12 = 24 items total. Therefore, the answer is 11/24

Side note: The fraction 11/24 cannot be reduced because 11 and 24 have no factors in common other than 1.