Răspuns:
Explicație pas cu pas:
a = 5,25 + 3/2 + 4,5 ·3/6 = 525/100 + ⁵⁰⁾3/2 + ⁵⁾45/10 · 1/2
a = (525+150+225)/100 = 900/100 => a = 9
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b = 3 1/8 : 6 2/3 ·1 7/9 = (3·8+1)/8 : (6·3+2)/3 · (1·9+7)/9
b = 25/8 : 20/3 · 16/9 = 25/8 · 3/20 ·16/9 =>
b = (25·3·16)/(160·9) = (25·3)/(10·9) = (5·3)/(2·9) => b = 5/6
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c = a : b - 3 1/5 = 9 : 5/6 - (3·5+1)/5 = 9·6/5 - 16/5 = (54-16)/5 = >
c = 38/5
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d = 36 2/3 :(5²-5·2)+9 1/3 : (3²+2²+1)
d = (36·3+2)/3 :(25-10) +(9·3+1)/3 :(9+4+1)
d = 110/3 : 15 + 28/3 : 14
d = 110/3 · 1/15 + 28/3 ·1/14 = 110/(3·15) + 28/(3·14) =>
d = 22/9 + ³⁾2/3 =(22+6)/9 = > d = 28/9
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e = 8 4/7 : 2 6/7 +12,(3) -7 1/3 =(8·7+4)/7 :(2·7+6)/7 + (123-12)/9 -(7·3+1)/3
e = 60/7 : 20/7 + 111/9⁽³ - 22/3 = 60/7 ·7/20 + 37/3 - 22/3 =>
e = 60·7/(7·20) + (37-22)/3 = 3 + 15/3 = 3+5 => e = 8
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f = d:e - (3²-2²)/(3²·2³) = 28/9 : 8 - (9-4)/(9·8)
f = 28/9 ·1/8 - 5/72 = 28/72 -5/72 = (28-5)/72 =>
f = 23/72
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g = c : f + (1/3 + 1/5:1/3)·2 = 38/5 : 23/72 + (1/3 + 1/5 ·3/1)·2
g = 38/5 · 72/23 + (⁵⁾1/3 + ³⁾3/5)·2 = ³⁾38·72/(5·23) + ²³⁾28/15
g = (3·38·72 + 23·28)/(15·23) = (8208+644)/(15·23)
g = 8852/345
