( 1/2 + 5/3 ) : 6/7
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5: \(=3-\dfrac{1}{4}+\dfrac{2}{3}-5+\dfrac{1}{3}+\dfrac{6}{5}-6+\dfrac{7}{4}-\dfrac{3}{2}\)
\(=3-5-6+\dfrac{-1}{4}+\dfrac{7}{4}+\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{6}{5}-\dfrac{3}{2}\)
\(=-8+\dfrac{3}{2}+1+\dfrac{-3}{10}\)
\(=-7+\dfrac{15-3}{10}=-7+\dfrac{6}{5}=-\dfrac{29}{5}\)
6: \(=6-\dfrac{2}{3}+\dfrac{1}{2}-5-\dfrac{5}{3}+\dfrac{3}{2}-3+\dfrac{7}{3}-\dfrac{5}{2}\)
\(=6-5-3-\dfrac{2}{3}-\dfrac{5}{3}+\dfrac{7}{3}+\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\)
\(=-2-\dfrac{1}{2}=-\dfrac{5}{2}\)
7: \(=\dfrac{5}{3}-\dfrac{3}{7}+9-2-\dfrac{5}{7}+\dfrac{2}{3}+\dfrac{8}{7}-\dfrac{4}{3}-10\)
\(=9-2-10+\dfrac{5}{3}+\dfrac{2}{3}-\dfrac{4}{3}+\dfrac{-3}{7}-\dfrac{5}{7}+\dfrac{8}{7}\)
=-3+1
=-2
8: \(=8-\dfrac{9}{4}+\dfrac{2}{7}+6+\dfrac{3}{7}-\dfrac{5}{4}-3-\dfrac{2}{4}+\dfrac{9}{7}\)
\(=8+6-3+\dfrac{2}{7}+\dfrac{3}{7}+\dfrac{9}{7}-1-\dfrac{2}{4}\)
\(=11+2-1-\dfrac{1}{2}\)
=11+1/2
=11,5
Lời giải chi tiết:
3 + 4 > 6 | 6 + 1 > 6 | 5 + 1 = 6 |
3 + 4 = 7 | 5 + 2 > 6 | 7 – 5 > 3 |
7 – 4 < 4 | 7 – 2 = 5 | 7 – 6 = 1 |
\(\dfrac{8}{9}:\dfrac{3}{7}=\dfrac{56}{27}\\ \dfrac{8}{9}+\dfrac{2}{5}=\dfrac{58}{45}\\ \dfrac{7}{8}-\dfrac{1}{3}=\dfrac{13}{24}\\ \dfrac{3}{10}\times\dfrac{1}{6}=\dfrac{1}{20}\\ 1\dfrac{2}{7}+6\dfrac{5}{6}=\dfrac{9}{7}+\dfrac{41}{6}=\dfrac{341}{42}\\ 5\dfrac{3}{4}-\dfrac{1}{5}=\dfrac{23}{4}-\dfrac{1}{5}=\dfrac{111}{20}\\ 6\dfrac{2}{9}:4\dfrac{7}{10}=\dfrac{56}{9}:\dfrac{47}{10}=\dfrac{560}{423}\\ \dfrac{5}{3}+\dfrac{3}{2}-\dfrac{7}{6}=2\)
a: 14/5-7/5=7/5
b: 7/8-1/3+5/4
=21/24-8/24+30/24
=43/24
c; =7/6+5/6+2/15+13/15
=2+1
=3
d: =4*5/3*11=20/33
e: =2/9*1/6*1/4=2/9*1/24=1/108
2:
a: \(=\dfrac{3}{9}\cdot\dfrac{4}{4}\cdot\dfrac{5}{5}\cdot\dfrac{6}{6}\cdot\dfrac{7}{7}=\dfrac{1}{3}\)
b: \(=\dfrac{1}{6}\left(\dfrac{22}{3}-\dfrac{2}{3}\right)=\dfrac{10}{3}\cdot\dfrac{1}{6}=\dfrac{10}{18}=\dfrac{5}{9}\)
c; \(=\dfrac{1}{3}\left(9-\dfrac{2}{5}-\dfrac{3}{5}\right)=\dfrac{8}{3}\)
Lời giải chi tiết:
5 + 4 = 9 | 6 + 3 = 9 | 7 + 2 = 9 | 1 + 8 = 9 |
5 + 3 + 1 = 9 | 6 + 2 + 1 = 9 | 7 + 1 + 1 = 9 | 1 + 2 + 6 = 9 |
5 + 2 + 2 = 9 | 6 + 3 + 0 = 9 | 7 + 0 + 2 = 9 | 1 + 5 + 3 = 9 |
5+4=9 | 6+3=9 | 7+2=9 | 1+8=9 |
5+3+1=9 | 6+2+1=9 | 7+1+1=9 | 1+2+6=9 |
5+2+2=9 | 6+3+0=9 | 7+0+2=9 | 1+5+3=9 |
6 + 1 = 7 5 + 2 = 7 4 + 3 = 7
1 + 6 = 7 2 + 5 = 7 3 + 4 = 7
7 - 6 = 1 7 - 5 = 2 7 - 4 = 3
7 - 1 = 6 7 - 2 = 5 7 - 3 = 4
Lời giải chi tiết:
4 + 3 = 7 | 5 + 2 = 7 | 6 + 1 = 7 |
3 + 4 = 7 | 2 + 5 = 7 | 1 + 6 = 7 |
7 – 4 = 3 | 7 – 5 = 2 | 7 – 6 = 1 |
7 – 3 = 4 | 7 – 2 = 5 | 7 – 1 = 6 |
91/6
MONG LÀ MK ĐÚNG
\(\left(\frac{1}{2}+\frac{5}{3}\right)\div\frac{6}{7}\)
\(=\left(\frac{3}{6}+\frac{10}{6}\right)\div\frac{6}{7}\)
\(=\frac{13}{6}\div\frac{6}{7}\)
\(=\frac{13}{6}\times\frac{7}{6}\)
\(=\frac{91}{36}\)