Question

Answer 1

a: \(\frac{31}{23}-\left(\frac{7}{32}+\frac{8}{23}\right)\)

\(=\frac{31}{23}-\frac{8}{23}-\frac{7}{32}\)

\(=\frac{23}{23}-\frac{7}{32}=1-\frac{7}{32}=\frac{25}{32}\)

b: \(\frac{38}{45}-\left(\frac{8}{45}-\frac{17}{51}-\frac{3}{11}\right)\)

\(=\frac{38}{45}-\frac{8}{45}+\frac{17}{51}+\frac{3}{11}\)

\(=\frac{30}{45}+\frac13+\frac{3}{11}=1+\frac{3}{11}=\frac{14}{11}\)

c: \(\left(\frac13+\frac{12}{67}+\frac{13}{41}\right)-\left(\frac{79}{67}-\frac{28}{41}\right)\)

\(=\frac13+\frac{12}{67}-\frac{79}{67}+\frac{13}{41}+\frac{28}{41}\)

\(=\frac13-\frac{67}{67}+\frac{41}{41}=\frac13-1+1=\frac13\)