Question

DAU COROANA!!!!! VA ROG AJUTATIMA !!!!!

Answer 1

a) ($\frac{3}{1}$+$\frac{1}{2}$)·($\frac{5}{11}$+$\frac{1}{7}$)·($\frac{4}{1}$+$\frac{3}{2}$)=$\frac{6+1}{2}$·$\frac{35+11}{77}$·$\frac{8+3}{2}$=$\frac{7}{2}$·$\frac{46}{77}$·$\frac{11}{2}$=$\frac{23}{2}$
b) 28=2²·7
    56=2³·7
c.m.m.m.c=2³·7=8·7=56 (elemente comune si necomune la puterea cea mai mare)
$\frac{7}{45}$·($\frac{27}{28}$-$\frac{9}{56}$)=$\frac{7}{45}$·$\frac{54-9}{56}$=$\frac{7}{45}$·$\frac{45}{56}$=$\frac{1}{8}$
c)($\frac{5}{1}$-$\frac{2}{3}$)·($\frac{7}{13}$-$\frac{4}{26}$)·($\frac{7}{11}$-$\frac{1}{2}$)=$\frac{15-2}{3}$·$\frac{14-4}{26}$·$\frac{14-11}{22}$=$\frac{13}{3}$·$\frac{10}{26}$·$\frac{3}{22}$=$\frac{5}{22}$
d)$\frac{5*3+5}{3}$·($\frac{3*5+2}{5}$+$\frac{2*15+1}{15}$ - $\frac{3*3+1}{3}$ )=$\frac{20}{3}$·($\frac{17}{5}$ + $\frac{31}{15}$ - $\frac{10}{3}$)=$\frac{20}{3}$·$\frac{51+31-50}{15}$=$\frac{20}{3}$·$\frac{32}{15}$=$\frac{128}{9}$
e) ($\frac{13}{4}$+$\frac{9}{7}$-$\frac{45}{28}$)·$\frac{56}{41}$=$\frac{91+36-45}{28}$·$\frac{56}{41}$=$\frac{82}{28}$·$\frac{56}{41}$=4
f) $\frac{30}{7}$·($\frac{16}{5}$+$\frac{106}{15}$-$\frac{7}{3}$)=$\frac{30}{7}$·($\frac{48+106-35}{15}$=$\frac{30}{7}$·$\frac{119}{15}$=34