Question

(2-2/17)x51/64

(2/5+5/7)x5/13

13/18:(7/12-4/9)

Answer 1

a. \(\left(2-\frac{2}{17}\right)\times\frac{51}{64}\)

\(=\frac{22}{17}\times\frac{51}{64}\)

\(=\frac{22\times51}{17\times64}=\frac{1122}{1088}=\frac{561}{544}\)

b. \(\left(\frac{2}{5}+\frac{5}{7}\right)\times\frac{5}{13}\)

\(=\frac{39}{35}\times\frac{5}{13}\)

\(=\frac{3}{7}\)

c. \(\frac{13}{18}\div\left(\frac{7}{12}-\frac{4}{9}\right)\)

\(=\frac{13}{18}\div\frac{28}{27}\)

\(=\frac{13}{18}\times\frac{27}{28}=\frac{39}{56}\)

#z

Answer 2

\(\left(2-\frac{2}{17}\right)\times\frac{51}{64}\)

\(=\frac{32}{17}\times\frac{51}{64}\)

\(=\frac{1632}{1088}=\frac{3}{2}\)

\(\left(\frac{2}{5}+\frac{5}{7}\right)\times\frac{5}{13}\)

\(=\left(\frac{14}{35}+\frac{25}{35}\right)\times\frac{5}{13}\)

\(=\frac{39}{35}\times\frac{5}{13}\)

\(=\frac{195}{455}=\frac{3}{7}\)

 \(\frac{13}{18}:\left(\frac{7}{12}-\frac{4}{9}\right)\)

\(=\frac{13}{18}:\left(\frac{63}{108}-\frac{48}{108}\right)\)

\(=\frac{13}{18}:\frac{5}{36}\)

\(=\frac{13}{18}\times\frac{36}{5}\)

\(=\frac{468}{90}=\frac{26}{5}\)