9/14 .<.. 11/14           4/25 .<.. 4/23          5/6 ..<. 7/8         1 ..>. 14/15

8/9 ..=. 24/27             20/19 ..>. 20/27        8/7 .>.. 9/8        1 .<..15/14

\(\dfrac{9}{14}< \dfrac{11}{14};\dfrac{8}{9}=\dfrac{24}{27}\)

\(\dfrac{4}{25}< \dfrac{4}{23};\dfrac{20}{19}>\dfrac{20}{27}\)

\(\dfrac{5}{6}< \dfrac{7}{8};\dfrac{8}{7}>\dfrac{9}{8}\)

\(1>\dfrac{14}{15};1< \dfrac{15}{14}\)

9/14 .<.. 11/14           4/25 .<.. 4/23          5/6 ..<. 7/8         1 ..>. 14/15

8/9 ..=. 24/27             20/19 ..>. 20/27        8/7 .>.. 9/8        1 .<..15/14

1) \(\left(+15\right)+\left(+17\right)=15+17=32\)

2) \(\left(-3\right)+\left(-7\right)=-3-7=-\left(3+7\right)=-10\)

3) \(\left(-25\right)+\left(+4\right)=-25+4=-\left(25-4\right)=-21\)

4) \(\left(-6\right)+\left(-54\right)=-6-54=-\left(6+54\right)=-60\)

5) \(\left(-15\right)+20=20-15=5\)

6) \(\left(-5\right)+8+7+5\)

\(=\left(-5+5\right)+\left(8+7\right)\)

\(=15\)

7) \(\left(-8\right)+\left(-11\right)+\left(-2\right)\)

\(=\left[\left(-8\right)+\left(-2\right)\right]+\left(-11\right)\)

\(=\left(-10\right)+\left(-11\right)\)

\(=-21\)

8) \(15+\left(-5\right)+\left(-14\right)+\left(-16\right)\)

\(=\left[15+\left(-5\right)\right]+\left[\left(-14\right)+\left(-16\right)\right]\)

\(=10+\left(-30\right)\)

\(=-20\)

9) \(\left(-20\right)+\left(-14\right)+3+\left(-86\right)\)

\(=\left[\left(-20\right)+3\right]+\left[\left(-14\right)+\left(-86\right)\right]\)

\(=\left(-17\right)+\left(-100\right)\)

\(=-117\)

10) \(\left(-136\right)+123+\left(-264\right)+\left(-83\right)+240\)

\(=\left[\left(-136\right)+\left(-264\right)\right]+\left[123+\left(-83\right)\right]+240\)

\(=\left(-400\right)+40+240\)

\(=\left(-360\right)+240\)

\(=-120\)

11) \(\left(-596\right)+2001+1999+\left(-404+189\right)\)

\(=\left(-596\right)+2001+1999-404+189\)

\(=\left[\left(-596\right)-404\right]+\left(2001+189\right)+1999\)

\(=\left(-1000\right)+2190+1999\)

\(=1190+1999\)

\(=3189\)

12) \(314+\left(-153\right)+64+121+\left(-247\right)+218\)

\(=\left(314+64+121\right)+\left[\left(-153\right)+\left(-247\right)\right]+218\)

\(=\left(378+121\right)+\left(-400\right)+218\)

\(=499-400+218\)

\(=99+218\)

\(=317\)

\(\text{#}Toru\)

\(-\left(-7\right)+\left(-14\right)-\left(-20\right)\)

\(=7-14+20\)

\(=-7+20\)

\(=13\)

\(-\left(-13\right)-\left|15\right|+\left(-20\right)\)

\(=13-15-20\)

\(=-2-20\)

\(=-22\)

−(−7)+(−14)−(−20)

=7−14+20

=−7+20

=13

−(−13)−|15|+(−20)

=13−15−20

=−2−20

=−22

` 7/15 xx 3/14 : 13/20`

` = 7/15 xx 3/14 xx 20/13`

` = 1/10 xx 20/13`

` = 2/13`

`7/15 . 3/14 : 13/20`

`=1/20 . 20/13`

`=2/13`

`12,3 + 21,19 + 7,7 - 21,19`

`=33,49+7,7-21,19`

`=41,19-21,19`

`=20`

= 1/10 : 13/20 = 2/13

\(\dfrac{3}{5}.\dfrac{5}{7}+\dfrac{12}{20}.\dfrac{2}{14}+\dfrac{9}{15}.\dfrac{1}{7}\)

\(=\dfrac{3}{7}+\dfrac{3}{35}+\dfrac{3}{35}\)

\(=\dfrac{3}{7}+\dfrac{6}{35}\)

\(=\dfrac{15}{35}+\dfrac{6}{35}\)

\(=\dfrac{21}{35}\)

\(=\dfrac{3}{5}\)

a, 5/-14. 7/-19=8/38

b, -15/4 .( 16/-25 )=12/5

c, 3/-10 .( -15/-2 )=

d, -5/7 . ( 21/-10 )=-9/4

e, 10/-3. (6/-5)==4

f, 21/-9 . ( -6/14 )=1

g, -10/9 . ( 36/20 )=-2

Lời giải:

$\frac{3}{5}\times \frac{5}{7}+\frac{12}{20}\times \frac{2}{14}+\frac{9}{15}:7$
$=\frac{3}{7}+\frac{3}{5}\times \frac{1}{7}+\frac{3}{5}\times \frac{1}{7}$

$=\frac{3}{7}\times (1+\frac{1}{5}+\frac{1}{5})$

$=\frac{3}{7}\times \frac{7}{5}=\frac{3}{5}$