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a: =(5/7+2/7)+(4/3+5/3)=3+1=4
b: =(17/12+7/12)+(29/7-8/7)
=2+3=5
c: =(2/5+3/5)+(6/9+1/3)+(7/4+1/4)
=1+2+1
=4
d: =(1/3+2/3)+(13/17+4/17)+(29/11+4/11)
=1+1+3=5
a: =2/5x11/7=22/35
b: =60/85+68/85=128/75
c: =78/143-44/143=34/143
d: =5/6+8/21=35/42+16/42=51/42=17/14
a: 10/3-8/3=2/3
11/4-5/4=6/4=3/2
32/17+21/17=53/17
b: 5/6+7/8=20/24+21/24=41/24
3/7-5/14=6/14-5/14=1/14
7/4-3/5=35/20-12/20=23/20
a: 10/3-8/3=2/3
11/4-5/4=6/4=3/2
32/17+21/17=53/17
b: 5/6+7/8=20/24+21/24=41/24
3/7-5/14=6/14-5/14=1/14
7/4-3/5=35/20-12/20=23/20
\(a,\frac{2}{5}+\frac{3}{4}=\frac{8}{20}+\frac{15}{20}=\frac{23}{20}\)
\(\frac{5}{8}+\frac{7}{2}=\frac{5}{8}+\frac{28}{8}=\frac{33}{8}\)
\(\frac{4}{9}+\frac{5}{18}=\frac{8}{18}+\frac{5}{18}=\frac{13}{18}\)
\(\frac{5}{8}+\frac{9}{16}=\frac{10}{16}+\frac{9}{16}=\frac{19}{16}\)
\(b,\frac{9}{5}-\frac{5}{9}=\frac{81}{45}-\frac{25}{45}=\frac{56}{45}\)
\(\frac{12}{7}-\frac{17}{2}=\frac{24}{14}-\frac{119}{14}=-\frac{95}{14}\)
\(\frac{11}{8}-\frac{8}{11}=\frac{121}{88}-\frac{64}{88}=\frac{57}{88}\)
\(\frac{17}{6}-\frac{6}{17}=\frac{289}{102}-\frac{36}{102}=\frac{253}{102}\)
a: \(\dfrac{5}{3}\cdot\dfrac{7}{10}=\dfrac{5}{10}\cdot\dfrac{7}{3}=\dfrac{14}{3}>2\)
\(\dfrac{5}{7}:\dfrac{7}{10}=\dfrac{5}{7}\cdot\dfrac{10}{7}=\dfrac{50}{49}< 2\)
=>\(\dfrac{5}{3}\cdot\dfrac{7}{10}>\dfrac{5}{7}:\dfrac{7}{10}\)
b: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\dfrac{8}{9}:\dfrac{4}{3}=\dfrac{8}{9}\cdot\dfrac{3}{4}=\dfrac{8}{4}\cdot\dfrac{3}{9}=\dfrac{2}{3}\)
Do đó: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{8}{9}:\dfrac{4}{3}\)
c: \(\dfrac{5}{11}\cdot\dfrac{33}{15}=\dfrac{5}{15}\cdot\dfrac{33}{11}=\dfrac{3}{3}=1\)
\(\dfrac{6}{17}\cdot\dfrac{34}{25}=\dfrac{34}{17}\cdot\dfrac{6}{25}=2\cdot\dfrac{6}{25}=\dfrac{12}{25}< 1\)
=>\(\dfrac{5}{11}\cdot\dfrac{33}{15}>\dfrac{6}{17}\cdot\dfrac{34}{25}\)
d: \(\dfrac{15}{19}\cdot\dfrac{38}{5}=\dfrac{15}{5}\cdot\dfrac{38}{19}=3\cdot2=6\)
\(\dfrac{15}{16}:\dfrac{3}{8}=\dfrac{15}{16}\cdot\dfrac{8}{3}=\dfrac{15}{3}\cdot\dfrac{8}{16}=\dfrac{5}{2}\)<6
=>\(\dfrac{15}{19}\cdot\dfrac{38}{5}>\dfrac{15}{16}:\dfrac{3}{8}\)
Bài 1:
Rút gọn các phân số sau:
\(\dfrac{12}{24}\) = \(\dfrac{12:12}{24:12}\) = \(\dfrac{1}{2}\)
\(\dfrac{120}{90}\) = \(\dfrac{120:30}{90:30}\) = \(\dfrac{4}{3}\)
\(\dfrac{42}{24}\) = \(\dfrac{42:6}{24:6}\) = \(\dfrac{7}{4}\)
Bài 2:
Tính bằng cách thuận tiện:
\(\dfrac{13}{19}\) + \(\dfrac{18}{19}\) + \(\dfrac{17}{19}\)
= \(\dfrac{13+18+17}{19}\)
= \(\dfrac{\left(13+17\right)+18}{19}\)
= \(\dfrac{48}{19}\)
\(\dfrac{12}{17}\) + \(\dfrac{19}{17}\) + \(\dfrac{8}{17}\)
= \(\dfrac{12+19+8}{17}\)
= \(\dfrac{\left(12+8\right)+19}{17}\)
= \(\dfrac{39}{17}\)
a)4/5-11/5=..7/5.
17/12-3/4=.17/12-9/12=8/12=2/3..
b)5/3-4/5=..25/15-12/15=13/15.
6/7-5/8=.48/56-35/56=13/56..