\(\frac{8}{15}+\frac{16}{30}+\frac{3}{5}+\frac{9}{10}+2\frac{3}{5}\)

\(=\frac{8}{15}+\frac{16}{30}+\frac{3}{5}+\frac{9}{10}+\frac{13}{5}\)

\(=\frac{16+16+18+27+78}{30}\)

\(=\frac{155}{30}\)

\(=\frac{31}{6}\)

Hc tốt #

\(\frac{8}{15}\)+\(\frac{16}{30}\)+\(\frac{3}{5}\)+\(\frac{9}{10}\)+2\(\frac{3}{5}\)

=\(\frac{16}{30}\)+\(\frac{16}{30}\)+\(\frac{18}{30}\)+\(\frac{27}{30}\)+\(\frac{13}{5}\)

=\(\frac{16+16+18+27}{30}\)+\(\frac{78}{30}\)

=\(\frac{77}{30}\)+\(\frac{78}{30}\)= \(\frac{155}{30}\)

10:\(\frac{2}{5}\)=\(\frac{10}{1}:\frac{2}{5}\)

          =\(\frac{10}{1}\cdot\frac{5}{2}\)

          =\(\frac{5\cdot2}{1}\cdot\frac{5}{2}\)

gạch 2 chữ số 2 của 2 phân số.ta được:

           =\(\frac{5}{1}\cdot\frac{5}{1}\)

            =25

10 : 2/5 = 10 x 5/2 = 10 x 5 : 2 = 25

Bài 2: Tính bằng cách thuận tiện nhất :

1/2+2/4+3/6+4/8+5/10+6/12=3

1/3+1/4+1/5+8/10+20/15+20/30=43/12

a) \(\frac{2}{5}+\frac{9}{15}=\frac{2}{5}+\frac{3}{5}=\frac{5}{5}=1\)

b) \(\frac{15}{45}+\frac{25}{30}=\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{7}{6}\)

c) \(\frac{28}{32}+\frac{45}{72}=\frac{7}{8}+\frac{5}{8}=\frac{12}{8}=\frac{3}{2}\)

d) \(\frac{8}{28}+\frac{5}{30}=\frac{2}{7}+\frac{1}{6}=\frac{12}{42}+\frac{7}{42}=\frac{19}{42}\)

a) \(\frac{2}{5}+\frac{9}{15}\)=\(\frac{2}{5}+\frac{3}{5}=\frac{2+3}{5}=1\)

b)\(\frac{15}{45}+\frac{25}{30}=\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{2+5}{6}=\frac{7}{6}\)

c)\(\frac{28}{32}+\frac{45}{72}=\frac{7}{8}+\frac{5}{8}=\frac{7+5}{8}=\frac{12}{8}=\frac{3}{2}\)

d)\(\frac{8}{28}+\frac{5}{30}=\frac{2}{7}+\frac{1}{6}=\frac{12}{42}+\frac{7}{42}=\frac{12+7}{42}=\frac{19}{42}\)

a )

2 / 3 + 5 / 4 = 8 / 12 + 15 / 12 = 23 / 12

b )

15 / 25 + 6 / 21 = 3 / 5 + 2 / 7 

                       = 21 / 35 + 10 / 35

                       = 31 / 35

c ) 

4 / 3 - 11 / 15 = 20 / 15 - 11 / 15

                    = 9 / 15

d )

12 / 10 - 2 / 5 = 12 / 10 - 4 / 10

                    = 8 / 10

                    = 4 / 5

a=23/12

b=31/35

c=3/5

d=4/5

B

Bó tay luôn

Câu B\(\frac{18}{30}\)

câu b:18/30

\(\frac{1}{9\cdot10}+\frac{2}{10\cdot12}+\frac{3}{12\cdot15}+\frac{4}{15\cdot19}+\frac{5}{19\cdot24}+\frac{6}{24\cdot30} \)
\(=\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{24}+\frac{1}{24}-\frac{1}{30}\)
\(=\frac{1}{9}-\frac{1}{30}\)
\(=\frac{10}{90}-\frac{3}{90}\)
\(=\frac{7}{90}\)
 

\(\frac{4}{5}+\frac{2}{5}+\frac{1}{5}+\frac{1}{5}\)

\(\frac{6}{5}+\frac{2}{5}\)

\(\frac{8}{5}\)

Mẫu số chung là 5 !

\(\frac{8}{10}+\frac{2}{5}+\frac{3}{15}+\frac{4}{20}=\frac{4}{5}+\frac{2}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4+2+1+1}{5}=\frac{8}{5}\)

Gợi ý: Rút gọn 2 ps, quy đồng rồi so sánh.