Question

(224+222分之1)乘以223分之1，用简便方法计算

Answer 1

(224+222分之1)乘以223分之 1
=(223+1)x(1/223)+(1/222)x(1/223)
=1+(1/223)+(1/222)x(1/223)
=1+(1/223)x[1+(1/222)]
=1+(1/223)x(223/222)
=1+(1/222)
=223/222.

Answer 2

(224 + 1/222)x(1/223) = [(224x222 +1)/222]/223 = [(223+1)(223-1)+1]/222/223 = [223^2-1^2 +1]/223/222 = 223/222 = 1+1/222

Answer 3

(224 + 1/222)x(1/223) = [(224x222 +1)/222]/223 = [(223+1)(223-1)+1]/222/223 = [223^2-1^2 +1]/223/222 = 223/222 = 1+1/222