Tính nhanh phân số: a,5/6+4/15+3/5+7/6; b,4/13+(7/13+3/4)+3/8
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a) \(\dfrac{13}{15}< \dfrac{14}{15}\) ( vì 13 < 14 )
b) Ta có:
\(\dfrac{2}{3}=\dfrac{2\times3}{3\times3}=\dfrac{6}{9}\)
Vì 6 = 6 nên \(\dfrac{6}{9}=\dfrac{6}{9}\)
Vậy \(\dfrac{2}{3}=\dfrac{6}{9}\)
c) Ta có:
\(\dfrac{4}{7}=\dfrac{4\times6}{7\times6}=\dfrac{24}{42}\)
\(\dfrac{5}{6}=\dfrac{5\times7}{6\times7}=\dfrac{35}{42}\)
Vì 24 < 35 nên \(\dfrac{24}{42}< \dfrac{35}{42}\)
Vậy \(\dfrac{4}{7}< \dfrac{5}{6}\)
d) Vì 9 < 13 nên \(\dfrac{4}{9}>\dfrac{4}{13}\)
Vậy \(\dfrac{4}{9}>\dfrac{4}{13}\)
b)1/2*2/3*3/4*4/5*5/6*6/7*7/8*8/9*9/10
=1x2x3x4x5x6x7x8x9
2x3x4x5x6x7x8x9x10
= 1
10
2: \(=\dfrac{-2}{75}+\dfrac{5}{39}=\dfrac{33}{325}\)
3: \(=\dfrac{6}{11}\left(\dfrac{4}{9}+\dfrac{5}{9}\right)=\dfrac{6}{11}\)
4: \(=\dfrac{7}{19}\left(\dfrac{5}{13}+\dfrac{8}{13}-1\right)=-2\cdot\dfrac{7}{19}=-\dfrac{14}{19}\)
5: \(=\dfrac{2}{7}\left(\dfrac{4}{23}-\dfrac{27}{23}+1\right)=0\)
6: \(=\dfrac{3}{8}\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{11}{8}=\dfrac{3}{8}+\dfrac{11}{8}=\dfrac{14}{8}=\dfrac{7}{4}\)
Bài 5:
a: =1/3+2/5
=5/15+6/15
=11/15
b: =6/21+12/21=18/21=6/7
c: =16/24+10/24
=26/24
=13/12
d: =4/12+3/12+10/12
=17/12
e: =19/24-9/24
=10/24
=5/12
f: =8/9-3/9=5/9
g: =9/3+1/3=10/3
k: =15/24+42/24+14/24
=71/24
BÀI 1:
a) \(\frac{4}{5}+\frac{3}{8}+\frac{1}{4}\)
\(=\frac{32}{40}+\frac{15}{40}+\frac{10}{40}\)
\(=\frac{32+15+10}{40}\)\(=\frac{57}{40}\)
b) \(\frac{5}{9}+\frac{2}{3}+\frac{1}{2}\)
\(=\frac{10}{18}+\frac{12}{18}+\frac{9}{18}\)
\(=\frac{10+12+9}{18}=\frac{31}{18}\)