Question

Aratati ca numarul n=4/3-4/3•[4/3-(0,(3))²]:48/9​

Answer 1

Răspuns:

37/36

Explicație pas cu pas:

n=4/3-4/3*[4/3-(3/9)^2]*9/48

n=4/3-4/3*[4/3-1/9]*9/48

n=4/3-4/3*(12-1)/9*9/48

n=4/3-4/3*11/48=

n=4/3(1-11/48)=4/3*(48-11)/48=4/3*37/48=37/3*12=37/36

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