Hello from MrBillDoesMath!
Answer: 1 17/24
Steps:
Evaluate (5x-6y+20x)/ 4yz when x = 5, y = 3, z = 14
(5(5) - 6(3) + 20(14)) / 4 (3)(14) (Substitute in values)
= (25 - 18 +280) / 4 (3) (14) (Evaluate products)
= (287) / 4 (3) (14) (Evaluate expressions)
= 287/ 168 (4 (3)(14) = 168)
= (168 + 119 ) /168 287 = 168 + 119
= (168)/168 + 119/168
= 1 + 119/168
= 1 119/168
BUT 119 = 17 * 7 (surprise!) and 168 = 12 * 7 * 2 so answer
= 1 (17*7)/(12*7*2)
= 1 (17)/(12*2) (Cancel 7's)
= 1 (17/24)
Regards, MrB