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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
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:
\(\dfrac{13}{19}\) + \(\dfrac{18}{19}\) + \(\dfrac{17}{19}\)
= \(\dfrac{13+18+17}{19}\)
= \(\dfrac{\left(13+17\right)+18}{19}\)
= \(\dfrac{48}{19}\)
\(\dfrac{12}{17}\) + \(\dfrac{19}{17}\) + \(\dfrac{8}{17}\)
= \(\dfrac{12+19+8}{17}\)
= \(\dfrac{\left(12+8\right)+19}{17}\)
= \(\dfrac{39}{17}\)
\(a,\frac{2}{5}+\frac{3}{4}=\frac{8}{20}+\frac{15}{20}=\frac{23}{20}\)
\(\frac{5}{8}+\frac{7}{2}=\frac{5}{8}+\frac{28}{8}=\frac{33}{8}\)
\(\frac{4}{9}+\frac{5}{18}=\frac{8}{18}+\frac{5}{18}=\frac{13}{18}\)
\(\frac{5}{8}+\frac{9}{16}=\frac{10}{16}+\frac{9}{16}=\frac{19}{16}\)
\(b,\frac{9}{5}-\frac{5}{9}=\frac{81}{45}-\frac{25}{45}=\frac{56}{45}\)
\(\frac{12}{7}-\frac{17}{2}=\frac{24}{14}-\frac{119}{14}=-\frac{95}{14}\)
\(\frac{11}{8}-\frac{8}{11}=\frac{121}{88}-\frac{64}{88}=\frac{57}{88}\)
\(\frac{17}{6}-\frac{6}{17}=\frac{289}{102}-\frac{36}{102}=\frac{253}{102}\)
a) 4/7 + 9/11
= 44/77 + 63/ 77
= 107/77
b) 11/12 * 6/9 - 3/8
= 66/108 - 3/8
= 11/18 - 3/8
= 44/72 - 27/72
= 17/72
c) 5/7 : 9/14 -17/18
= 5/7 * 14/9 - 17/18
= 70/63 - 17/18
= 10/9 - 17/18
= 20/18 - 17/18
= 3/18
= 1/6
OK
a, (6/11+5/11)x3/17
c1:=1x3/17
=3/17
c2:=6/11x3/17+5/11x3/17
=18/197+15/187
=33/187
=3/17
b,3/5x7/9-3/5x2/9
c1:=21/45-6/45
=15/45
=1/3
c2:=3/5x(7/9-2/9)
=3/5x5/9
=1/3
c,( 6/7-4/7):2/5
c1:=2/7:2/5
=2/7x5/2
=5/7
c2,6/7:2/5-4/7:2/5
=6/7x5/2-4/7x5/2
=15/7-10/7
=5/7
d,8/15:2/11+7/15:2/11
c1:=(8/15+7/15):2/11
=1x11/2
=11/2
c2:=8/15x11/2+7/15x11/2
=88/30+77/30
=165/30
=11/2
a) (\(\frac{6}{11}\) + \(\frac{5}{11}\)) x \(\frac{3}{17}\)= \(\frac{11}{11}\) x \(\frac{3}{17}\)= \(1\) x\(\frac{3}{17}\)= \(\frac{3}{17}\)
b) \(\frac{3}{5}\)x\(\frac{7}{9}\)- \(\frac{3}{5}\)x \(\frac{2}{9}\) = \(\frac{3}{5}\)x (\(\frac{7}{9}\)- \(\frac{2}{9}\))= \(\frac{3}{5}\) x \(\frac{5}{9}\)= \(\frac{3}{9}\)
c) (\(\frac{6}{7}\)- \(\frac{4}{7}\)) : \(\frac{2}{5}\)= \(\frac{2}{7}\) x \(\frac{5}{2}\)= \(\frac{5}{7}\)
d) \(\frac{8}{15}\) : \(\frac{2}{11}\) + \(\frac{7}{15}\): \(\frac{2}{11}\)= ( \(\frac{8}{15}\)+ \(\frac{7}{15}\)) x \(\frac{11}{2}\)= 1 x \(\frac{11}{2}\)= \(\frac{11}{2}\)
Chúc học tốt nha!
a] 4/12 ; 5/12 ; 11/2 ; 1/4
b] 1 ; 9/12; 12/5 ; 11/3
c] 8/21; 6/11;8/7
d] 2/3 ;2/7 15/2
a]1/3 5/12 11/2 1/4
b]1 3/4 12/5 33/9
c]8/21 6/11 8/7
d]2/3 2/7 15/2
a) 1/3 + 3/4 - 7/12
= 4/12 + 9/12 - 7/12
= 6/12
= 1/2
b) 6/11 : 5/22 - 4/5
= 6/11 * 22/5 - 4/5
= 12/5 - 4/5
= 8/5
c) 5/18 * 8
= 40/18
= 20/9
d) 7/15 : 5
= 7/15 * 1/5
= 7/75
OK
a, \(\frac{1}{3}+\frac{3}{4}-\frac{7}{12}\)
= \(\frac{13}{12}-\frac{7}{12}\)
= \(\frac{1}{2}\)
\(b,\frac{6}{11}:\frac{5}{22}-\frac{4}{5}\)
= \(\frac{12}{5}-\frac{4}{5}\)
\(=\frac{8}{5}\)
\(c,\frac{5}{18}x8\)
=\(\frac{20}{9}\)
\(d,\frac{7}{15}:5\)
= \(\frac{7}{15}x\)\(\frac{1}{5}\)
\(=\frac{7}{75}\)
2 - 5/6 = 2/1 - 5/6 = 12/6 - 5/6 = 12-5/ 6= 7/6
7/8 + 3/4 = 7/8 + 6 / 8 = 7+8/8 = 15/8
2/5 + 3/4 = 8/20 + 15/20 = 8+15/20 = 23/20
2 - 5/6 = 2/1 - 5/6 = 12/6 - 5/6 = 12-5/6 = 7/6
7/8 + 3/4 = 7/8 + 6/8 = 7 + 8/8 =15/8
2/5 + 3/4 = 8/20 + 15/20 = 8 + 15/20 = 23/20
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..