a1/7 +3/4 nhân 2/7
b2/5 chia 2/9 nhân 1/6
c8/7 - 1/4 nhân 2/3
4/9nhân 7/3 +1/9
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\dfrac{3}{7}\)
b)\(\dfrac{9}{4}\)
c)\(\dfrac{1}{3}\)
d)\(\dfrac{41}{32}\)
e)\(\dfrac{73}{60}\)
a) \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)
\(=1-\frac{1}{4}\)
\(=\frac{3}{4}\)
b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)
\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)
\(=\frac{4}{7}\times1\)
\(=\frac{4}{7}\)
c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)
\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)
\(=\frac{3}{8}\times1\)
\(=\frac{3}{8}\)
d) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
1 ] 2/3 : 1/2 + 1/3 : 1/2
= 2/3 x 2/1 + 1/3 x 2/1
= 2/1 x ( 2/3 + 1/3 )
= 2 x 1
= 2
2 ] 3/10 : 7/6 : 3/7
= 3/10 x 6/7 x 7/3
= 3 x 6 x 7 / 10 x 7 x 3
= [ tách 6 và 10 ] 3 x 3 x 2 x 7 / 2 x 5 x 7 x 3
= [ Gạch chéo các số trùng nhau trong tử số và mẫu số , đó là rút gọn ]
= 3 / 5
3 ] 4/5 x 7/9 : 7/5
= 4/5 x 7/9 x 5/7
[ làm như phép tính 2 ]
4 ] ( 1 - 1/2 ) x ( 1 - 1/3 ) x ( 1 - 1/4 ) x ( 1 - 1/5 )
= 1/2 x 2/3 x 3/4 x 4/5
= 1 x 2 x 3 x 4 / 2 x 3 x 4 x 5
= [ gạch các số trùng nhau trong tử số và mẫu số ]
= 1/5
2/3:1/2+1/3:1/2
bằng3/2 nhân 1/2 + 3/1 nhân 1/2
bằng3/4+3/2 bằng 3/4 + 6/4 bằng 9/4
\(\frac{2}{3}\)x \(\frac{5}{8}\)x \(\frac{8}{15}\)= \(\frac{2}{3}\)x \(\frac{1}{15}\)= \(\frac{2}{45}\)
\(\frac{22}{5}\)x \(12\)x \(\frac{20}{40}\)= \(\frac{22}{5}\)x \(12\)x \(\frac{1}{2}\)= \(\frac{22}{5}\)x 6 = \(\frac{122}{5}\)
\(\frac{7}{2}\)x \(\frac{26}{7}\)x \(\frac{4}{13}\)= \(\frac{91}{7}\)x \(\frac{4}{13}\)
a)\(\dfrac{1}{7}+\dfrac{3}{4}\cdot\dfrac{2}{7}=\dfrac{1}{7}+\dfrac{3}{14}=\dfrac{2}{14}+\dfrac{3}{14}=\dfrac{5}{14}\)
b)\(\dfrac{2}{5}:\dfrac{2}{9}\cdot\dfrac{1}{6}=\dfrac{2}{5}\cdot\dfrac{9}{2}\cdot\dfrac{1}{6}=\dfrac{18}{60}\)
c)\(\dfrac{8}{7}-\dfrac{1}{4}\cdot\dfrac{2}{3}=\dfrac{8}{7}-\dfrac{1}{6}=\dfrac{48}{42}-\dfrac{7}{42}=\dfrac{41}{42}\)
d)\(\dfrac{4}{9}\cdot\dfrac{7}{3}+\dfrac{1}{9}=\dfrac{28}{27}+\dfrac{1}{9}=\dfrac{28}{27}+\dfrac{3}{27}=\dfrac{31}{27}\)
. đổi thành x nha
\(a.\dfrac{1}{7}+\dfrac{3}{4}\times\dfrac{2}{7}\\ =\dfrac{1}{7}+\dfrac{3\times2}{4\times7}\\ =\dfrac{1}{7}+\dfrac{6}{28}\\ =\dfrac{1\times4}{7\times4}+\dfrac{6}{28}\\ =\dfrac{4}{28}+\dfrac{6}{28}\\ =\dfrac{4+6}{28}\\ =\dfrac{10}{28}\\ =\dfrac{5}{14}\\ b.\dfrac{2}{5}:\dfrac{2}{9}\times\dfrac{1}{6}\\ =\dfrac{2}{5}\times\dfrac{9}{2}\times\dfrac{1}{6}\\ =\dfrac{2\times9\times1}{5\times2\times6}\\ =\dfrac{18}{60}\\ =\dfrac{3}{10}\\ c.\dfrac{8}{7}-\dfrac{1}{4}\times\dfrac{2}{3}\\ =\dfrac{8}{7}-\dfrac{1\times2}{4\times3}\\ =\dfrac{8}{7}-\dfrac{2}{12}\\ =\dfrac{8\times12}{7\times12}-\dfrac{2\times7}{12\times7}\\ =\dfrac{96}{84}-\dfrac{14}{84}\\ =\dfrac{82}{84}\\ =\dfrac{41}{42}\)
\(\dfrac{4}{9}\times\dfrac{7}{3}+\dfrac{1}{9}\\ =\dfrac{4\times7}{9\times3}+\dfrac{1}{9}\\ =\dfrac{28}{27}+\dfrac{1}{9}\\ =\dfrac{28}{27}+\dfrac{1\times3}{9\times3}\\ =\dfrac{28}{27}+\dfrac{3}{27}\\ =\dfrac{28+3}{27}\\ =\dfrac{31}{27}.\)