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\(\frac{3}{4}+\frac{5}{9}:\frac{4}{5}=\frac{3}{4}+\frac{5}{9}\times\frac{5}{4}\)
\(=\frac{3}{4}+\frac{25}{36}=\frac{27}{36}+\frac{25}{36}=\frac{27+25}{36}=\frac{52}{36}=\frac{13}{9}\)
\(\frac{7}{19}\times\frac{4}{7}-\frac{7}{19}\times\frac{3}{7}=\frac{7}{19}\times\left(\frac{4}{7}-\frac{3}{7}\right)\)
\(=\frac{7}{19}\times\frac{1}{7}=\frac{1}{19}\)
y + y x 1/3 : 2/9 + y : 2/7 = 360
=> y + y x 1/3 x 9/2 + y x 7/2 = 360
=> y + y x 3/2 + y x 7/2 = 360
=> y x ( 1 + 3/2 + 7/2 ) = 360
=> y x 6 = 360
=> y = 360 : 6
=> y = 60
Vậy y = 60
Chúc bạn học tốt !!!
\(\frac{1}{3}:\frac{6}{7}+\frac{3}{4}:\frac{6}{7}=\frac{1}{3}.\frac{7}{6}+\frac{3}{4}.\frac{7}{6}=\frac{7}{6}.\left(\frac{1}{3}+\frac{3}{4}\right)=\frac{7}{6}.\frac{13}{12}=\frac{91}{72}\)
1/3:6/7+3/4:6/7=(1/3+3/4):6/7=13/12:6/7=13/12x7/6=51/72
4/7x9/5-3/7+4/7:5/6+6/7x2
=36/35-3/7+24/35+12/7
=36/35-15/35+24/35+60/35
=21/35+24/35+60/35
=45/35+60/35
=105/35
=3
\(S=\frac{3}{5.7}+\frac{3}{7.9}+.....+\frac{3}{59.61}\)
\(=\frac{3}{2}.\left(\frac{2}{5.7}+\frac{2}{7.9}+......+\frac{2}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7-5}{5.7}+\frac{9-7}{7.9}+......+\frac{61-59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7}{5.7}-\frac{5}{5.7}+\frac{9}{7.9}-\frac{7}{7.9}+.....+\frac{61}{59.61}-\frac{59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+.....+\frac{1}{59}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\frac{56}{305}\)
=\(\frac{84}{305}\)
11/21
=11/21