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Lời giải chi tiết:
| 8 – 3 = 5 | 8 – 5 = 3 | 8 – 6 = 2 | 8 – 8 = 0 |
| 8 – 1 – 2 = 5 | 8 – 2 – 3 = 3 | 8 – 5 – 1 = 2 | 8 – 0 = 8 |
| 8 – 2 – 1 = 5 | 8 – 3 – 2 = 3 | 8 – 1 – 5 = 2 | 8 + 0 = 8 |
1)\(1\frac{3}{4}-1\frac{3}{8}:\left(\frac{3}{8}+\frac{9}{20}\right)=\frac{7}{4}-\frac{11}{8}:\frac{33}{40}=\frac{7}{4}-\frac{5}{3}=\frac{1}{12}\)
( 3/8 + 2/8) +1/8= 3/8 + 2/8 +1/8= 3/8 + 3/8= 3/4
3/8 + (2/8 +1/8)= 3/8 + 2/8 +1/8= 3/8 + 3/8= 3/4
( 3/8 + 2/8) + 1/8....3/8+(2/8+1/8)= 3/4+.....+3/4
\(\left(\frac{3}{8}+\frac{2}{8}\right)+\frac{1}{8}=\frac{3}{8}+\left(\frac{2}{8}+\frac{1}{8}\right)=\frac{3}{8}+\frac{3}{8}=\frac{6}{8}=\frac{3}{4}\) (tính chất kết hợp)
\(\Rightarrow\left(\frac{3}{8}+\frac{2}{8}\right)+\frac{1}{8}=\frac{3}{8}+\left(\frac{1}{8}+\frac{2}{8}\right)\)
a) \(4\dfrac{3}{8}+5\dfrac{2}{3}\)
\(=\dfrac{35}{8}+\dfrac{17}{3}\)
\(=\dfrac{105}{24}+\dfrac{136}{24}\)
\(=\dfrac{241}{24}\)
b) \(2\dfrac{3}{8}+1\dfrac{1}{4}+3\dfrac{6}{7}\)
\(=\dfrac{19}{8}+\dfrac{5}{4}+\dfrac{27}{7}\)
\(=\dfrac{29}{8}+\dfrac{27}{7}\)
\(=\dfrac{419}{56}\)
c) \(2\dfrac{3}{8}-1\dfrac{1}{4}+5\dfrac{1}{3}\)
\(=\dfrac{19}{8}-\dfrac{5}{4}+\dfrac{16}{3}\)
\(=\dfrac{9}{8}+\dfrac{16}{3}\)
\(=\dfrac{155}{24}\)
d) \(\left(\dfrac{5}{2}+\dfrac{1}{3}\right):\left(1-\dfrac{1}{2}\right)\)
\(=\dfrac{17}{6}:\dfrac{1}{2}\)
\(=\dfrac{17}{6}\cdot2\)
\(=\dfrac{17}{3}\)
e) \(\left(\dfrac{5}{2}-\dfrac{1}{3}\right)\cdot\dfrac{9}{2}-\dfrac{6}{7}\)
\(=\dfrac{13}{6}\cdot\dfrac{9}{2}-\dfrac{6}{7}\)
\(=\dfrac{39}{4}-\dfrac{6}{7}\)
\(=\dfrac{249}{28}\)
a: =4+3/8+5+2/3
=9+9/24+16/24
=9+25/24
=216/24+25/24=241/24
b: \(=\dfrac{19}{8}+\dfrac{5}{4}+\dfrac{27}{7}=\dfrac{19+10}{8}+\dfrac{27}{7}\)
=27/7+29/8
=419/56
c: =2+3/8-1-1/4+5+1/3
=6+3/8-1/4+1/3
=6+3/8+1/12
=144/24+9/24+2/24
=155/24
d: =(15/6+2/6):1/2
=17/6*2
=17/3
e: =(15/6-2/6)*9/2-6/7
=13/6*9/2-6/7
=117/12-6/7
=249/28
2 = 1 + 1 6 = 2 + 4 8 = 5 + 3 10 = 8 + 2
3 = 1 + 2 6 = 3 + 3 8 = 4 + 4 10 = 7 + 3
4 = 3 + 1 7 = 1 + 6 9 = 8 + 1 10 = 6 + 4
4 = 2 + 2 7 = 5 + 2 9 = 6+ 3 10 = 5 + 5
5 = 4 + 1 7 = 4 + 3 9 = 7 + 2 10 = 10 + 0
5 = 3 + 2 8 = 7 + 1 9 = 5 + 4 10 = 0 + 10
6 = 5 + 1 8 = 6 + 2 10 = 9 + 1 1 = 1 + 0
\(\frac{8}{3}-\frac{1}{2}-1\)
\(=\frac{13}{6}-1\)
\(=\frac{7}{6}\)