9/14 : 3/7
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\(=\frac{18+3+14}{7}+\frac{8+5+5}{9}=\frac{35}{7}+\frac{18}{9}=5+2=7\)

Ta có: \(\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}\right)-\frac{15}{14}\left(\frac{14}{6}-\frac{3}{7}\right)\)
\(=\frac{15}{14}\left[\left(\frac{14}{9}-\frac{3}{7}\right)-\left(\frac{14}{6}-\frac{3}{7}\right)\right]\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}-\frac{14}{6}+\frac{3}{7}\right)\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{14}{6}\right)\)
\(=\frac{15}{14}\cdot\left(\frac{28}{18}-\frac{42}{18}\right)\)
\(=\frac{15}{14}\cdot\frac{-14}{18}\)
\(=\frac{-15}{18}=-\frac{5}{6}\)

9/5 : 7/4 + 3/4 x 8/7
= (9/5 : 8/7) x (7/4 + 3/4)
= 63/40 x 5/2
= 63/16
7 x 3/14 - 1/14
= 3/2 - 1/4
= 5/4
\(\dfrac{9}{5}:\dfrac{7}{4}+\dfrac{3}{4}\times\dfrac{8}{7}\)
\(=\dfrac{9}{5}\times\dfrac{4}{7}+\dfrac{3}{4}\times\dfrac{8}{7}\)
\(=\dfrac{36}{35}+\dfrac{6}{7}\)
\(=\dfrac{66}{35}\)
\(7\times\dfrac{3}{14}-\dfrac{1}{14}\)
\(=\dfrac{3}{2}-\dfrac{1}{14}\)
\(=\dfrac{10}{7}\)

a: =35/17-18/17-9/5+4/5
=1-1=0
b: =-7/19(3/17+8/11-1)
=7/19*18/187=126/3553
c: =26/15-11/15-17/3-6/13
=1-6/13-17/3
=7/13-17/3=-200/39

[-7/12].5/14+9/14.[-7/12]-(-3/4)
= -7/12. ( 5/14 + 9/14) + 3/4
=-7/12. 1 + 3/4
= -7/12+ 3/4
=1/6

a: =-5-7-8-3=-26
b: =-4-2-5-6=-17
c: =-8-11-4-2=-25
d: -9-15-6-3=-30
e: =-12-9-3-8=-32

\(\dfrac{-3}{7}\cdot\dfrac{14}{-9}+\dfrac{-3}{7}\cdot\dfrac{5}{9}\)
\(=\dfrac{-3}{7}\cdot\dfrac{-14}{9}+\dfrac{-3}{7}\cdot\dfrac{5}{9}\)
\(=\dfrac{-3}{7}\cdot\left(\dfrac{-14}{9}+\dfrac{5}{9}\right)\)
\(=\dfrac{-3}{7}\cdot-1\)
\(=\dfrac{3}{7}\)
3/2
\(\frac{9}{14}:\frac37=\frac{9}{14}\cdot\frac73=\frac93\cdot\frac{7}{14}=\frac32\)