Question

Hãy tính hợp lí các phân số sau :

a/ \(\frac{31}{23}\)- (\(\frac{7}{32}\)+\(\frac{8}{23}\))

b/ (\(\frac{1}{3}\)+\(\frac{12}{67}\)+\(\frac{13}{41}\)) - (\(\frac{79}{67}\)- \(\frac{28}{41}\))

c/ \(\frac{38}{45}\)- (\(\frac{8}{45}\)- \(\frac{17}{52}\)- \(\frac{3}{11}\))

giúp mk nhanh với ^^

Answer 1

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

\(=\frac{31}{23}-\frac{15}{23}\)

\(=\frac{16}{23}\)

b) \(\left(\frac{1}{3}+\frac{12}{67}+\frac{13}{41}\right)-\left(\frac{79}{67}-\frac{28}{41}\right)\)

\(=\frac{1}{3}+\frac{12}{67}+\frac{13}{41}-\frac{79}{67}+\frac{28}{41}\)

\(=\frac{1}{3}+\left(\frac{12}{67}-\frac{79}{67}\right)+\left(\frac{13}{41}+\frac{28}{41}\right)\)

\(=\frac{1}{3}+\frac{-67}{67}+\frac{41}{41}\)

\(=\frac{1}{3}-1+1\)

\(=\frac{1}{3}\)

c) \(\frac{38}{45}-\left(\frac{8}{45}-\frac{17}{52}-\frac{3}{11}\right)\)

\(=\frac{38}{45}-\frac{8}{45}+\frac{17}{52}+\frac{3}{11}\)

\(=\frac{30}{45}+\frac{17}{52}+\frac{3}{11}\)

\(=\frac{2}{3}+\frac{17}{52}+\frac{3}{11}\)

\(=\frac{104+51}{156}+\frac{3}{11}\)

\(=\frac{155}{156}+\frac{3}{11}\)

\(=\frac{156}{156}-\frac{1}{156}+\frac{3}{11}\)

\(=1-\frac{1}{156}+\frac{3}{11}\)

\(=1-\left(\frac{11-468}{1716}\right)\)

\(=1-\frac{-457}{1716}\)

\(=1+\frac{457}{1716}\)

\(=\frac{2173}{1716}\)

Answer 2

a)31/23-(7/32+8/23)=31/23-7/32-8/23=(31/23-8/23)-7/32=1-7/32=25/32

Answer 3

31/23-(7/32+8/23)=31/23-7/32-8/23=(31/23-8/23)-7/73=1-7/32=25/32

Answer 4

= \(\frac{2173}{1716}\)