a, 6/9+5/7+1/3=2/3+5/7+1/3=5/7+1=12/7

b, 17/7+6/5-20/14=17/7+6/5-10/7=6/5+1=11/5

c,2/5x1/4+3/4x2/5=2/5x(1/4+3/4)=2/5x1=2/5

d, 6/11:4/6+5/11:2/3=6/11:2/3+5/11:2/3=(6/11+5/11):2/3=3/2

nha

đưa hết hỗn số về dạng phân số rồi quy đồng bình thường ạ !

Hoàng_Linh_Nga làm đc thì làm nhé.

Giải:

\(2\frac{1}{6}+3\frac{2}{3}\)

\(=\frac{13}{12}+\frac{11}{9}\)

\(=\frac{249}{108}\)

\(4\frac{3}{4}-3\frac{5}{6}\)

\(=\frac{19}{16}-\frac{23}{18}\)

\(=\frac{342}{288}-\frac{368}{288}\)

\(=\frac{-26}{288}\)xem lại đề đi nhé

\(9\frac{1}{6}\times4\frac{2}{3}\)

\(=\frac{55}{18}\times\frac{15}{12}\)

\(=\frac{825}{216}\)

\(2\frac{5}{7}:\frac{14}{5}\)

\(=\frac{19}{7}:\frac{14}{5}\)

\(=\frac{95}{98}\)

\(\left(a\right)\frac{9}{8}+\frac{15}{32}=\frac{36}{32}+\frac{15}{32}=\frac{36+15}{32}=\frac{51}{32}\)

\(\left(b\right)4+\frac{35}{45}=\frac{4}{1}+\frac{35}{45}=\frac{180}{45}+\frac{35}{45}=\frac{180+35}{45}=\frac{43}{9}\)

\(\left(c\right)\frac{11}{4}-\frac{15}{16}=\frac{44}{16}-\frac{15}{16}=\frac{44-15}{16}=\frac{29}{16}\)

\(\left(d\right)3-\frac{13}{9}=\frac{3}{1}-\frac{13}{9}=\frac{27}{9}-\frac{13}{9}=\frac{27-13}{9}=\frac{14}{9}\)

\(\left(e\right)\frac{5}{6}-\frac{5}{8}=\frac{20}{24}-\frac{15}{24}=\frac{20-15}{24}=\frac{5}{24}\)

\(\left(g\right)\frac{196}{64}-2=\frac{196}{64}-\frac{2}{1}=\frac{196}{64}-\frac{128}{64}=\frac{196-128}{64}=\frac{17}{16}\)

Mình đảm bảo đúng ! Chúc bạn học tốt!

a) \(\frac{9}{8}+\frac{15}{32}=\frac{36}{32}+\frac{15}{32}=\frac{51}{32}\)

b) \(4+\frac{35}{45}=4+\frac{7}{9}=\frac{36}{9}+\frac{7}{9}=\frac{43}{9}\)

c)\(\frac{11}{4}+\frac{15}{16}=\frac{44}{16}+\frac{15}{16}=\frac{59}{16}\)

d )\(3-\frac{13}{9}=\frac{27}{9}-\frac{13}{9}=\frac{14}{9}\)

e ) \(\frac{5}{6}+\frac{5}{8}=\frac{40}{48}+\frac{30}{48}\)\(=\frac{70}{48}\)

a) \(\frac{1}{2}\times x-3=6\)

=> \(\frac{1}{2}\times x=6+3\)

=> \(\frac{1}{2}\times x=9\)

=>\(x=9:\frac{1}{2}\)

=> \(x=18\)

b) \(2:x=\frac{2}{5}--\frac{1}{10}\)

=> \(2:x=\frac{2}{5}+\frac{1}{10}\)

=> \(2:x=\frac{1}{2}\)

=> \(x=2:\frac{1}{2}\)

=> \(x=4\)

c) \(25-\left(2\frac{1}{2}+x\right)=10\)

=> \(2\frac{1}{2}+x=25-10\)

=> \(\frac{5}{2}+x=15\)

=>\(x=15-\frac{5}{2}\)

=> \(x=\frac{25}{2}\)

d) \(\left(x-\frac{3}{4}\right)\times3-45:9=10\)

=> \(\left(x-\frac{3}{4}\right)\times3-5=10\)

=> \(\left(x-\frac{3}{4}\right)\times3=10+5\)

=> \(\left(x-\frac{3}{4}\right)\times3=15\)

=> \(\left(x-\frac{3}{4}\right)=15:3\)

=> \(\left(x-\frac{3}{4}\right)=5\)

=> \(x=5+\frac{3}{4}\)

=> \(x=\frac{23}{4}\)

\(a,\frac{1}{2}.x-3=6\Rightarrow\frac{x}{2}=9\Rightarrow x=18\)

\(b,2:x=\frac{2}{5}-\frac{1}{10}\Rightarrow\frac{2}{x}=\frac{9}{10}\Rightarrow x=\frac{2.10}{9}=\frac{20}{9}\)

\(c,25-\left(2\frac{1}{2}+x\right)=10\Rightarrow25-\frac{5}{2}+x=10\Rightarrow x=10+\frac{5}{2}-25=-\frac{25}{2}\)

\(d,\left(x-\frac{3}{4}\right).3-45:9=10\Rightarrow\left(x-\frac{3}{4}\right).3-5=10\Rightarrow\left(x-\frac{3}{4}\right).3=15\Rightarrow x-\frac{3}{4}=5\Rightarrow x=\frac{23}{4}\)

a, Sai

b, Đúng

c, đúng 

d, Sai

a,\(2\frac{2}{5}+1\frac{2}{5}=3\frac{2}{5}\left(S\right)\)

b,\(6\frac{3}{4}-1\frac{1}{4}=5\frac{2}{4}\left(\text{Đ}\right)\)

c,\(3\frac{1}{2}\times2\frac{2}{3}=9\frac{1}{3}\left(\text{Đ}\right)\)

d,\(4\frac{1}{6}\div2\frac{1}{5}=2\frac{5}{6}\left(S\right)\)

\(3+\frac{2}{5}-\frac{3}{4}\times\frac{4}{5}\)

\(=3+\frac{2}{5}+\frac{3}{5}\)

\(=3+1\)

\(=4\)

\(\frac{23}{12}\)

\(\frac{314}{105}\)

\(\frac{59}{60}\)

\(\frac{199}{90}\)

\(\frac{1}{18}\)

\(\frac{13}{36}\)

\(\frac{4}{221}\)

\(\frac{4}{85}\)

phải giải thích đày đủ

\(a,2\frac{1}{18}+3\frac{5}{6}+1\frac{2}{3}\)

\(=2+\frac{1}{18}+3+\frac{5}{6}+1+\frac{2}{3}\)

\(=(2+3+1)+(\frac{1}{18}+\frac{5}{6}+\frac{2}{3})\)

\(=6+(\frac{1}{18}+\frac{15}{18}+\frac{12}{18})\)

\(=6+\frac{28}{18}\)

\(=6+\frac{14}{9}=7\frac{5}{9}=\frac{68}{9}\)

\(b,5\frac{3}{7}+(2\frac{5}{21}-1\frac{2}{3})\)

\(=5+\frac{3}{7}+2+\frac{5}{21}-1-\frac{2}{3}\)

\(=(5+2-1)+(\frac{3}{7}+\frac{5}{21}-\frac{2}{3})\)

\(=6+(\frac{9}{21}+\frac{5}{21}-\frac{14}{21})\)

\(=6+0=6\)

Chúc bạn học tốt

a) \(2\frac{1}{8}+3\frac{5}{6}+1\frac{2}{3}\)

\(=2\frac{3}{24}+3\frac{20}{24}+1\frac{16}{24}\)

\(=\left(2+3+1\right)+\frac{3+20+16}{24}\)

\(=6+\frac{13}{8}\)

\(=7\frac{5}{8}=\frac{61}{8}\)

b)\(5\frac{3}{7}+\left(2\frac{5}{21}-1\frac{2}{3}\right)\)

\(=5\frac{9}{21}+\left(2\frac{5}{21}-1\frac{14}{21}\right)\)

\(=5\frac{9}{21}+2\frac{5}{21}-1-\frac{14}{21}\)

\(=\left(5+2-1\right)+\frac{9+5-14}{21}\)

\(=6+0=6\)