Complicated sum minus product

What must be subtracted from the sum of 3/8 and 5/16 to get a difference equal to the product of 5/8 and 3/16?

Correct answer:

x =  73/128

Step-by-step explanation:

s=3/8+5/16=1611=0.6875 p=5/8 3/16=128150.1172  sx=p 0.6875x=0.1171875  x=0.570313  x=10.5703125=0.5703125  x=128730.570313=12873=0.5703

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