5/12+1/6
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a) \(\dfrac{3}{4}-\dfrac{1}{8}=\dfrac{6}{8}-\dfrac{1}{8}=\dfrac{6-1}{8}=\dfrac{5}{8}\)
b) \(\dfrac{2}{6}-\dfrac{5}{18}=\dfrac{6}{18}-\dfrac{5}{18}=\dfrac{6-5}{18}=\dfrac{1}{18}\)
c) \(\dfrac{2}{5}-\dfrac{3}{20}=\dfrac{8}{20}-\dfrac{3}{20}=\dfrac{8-3}{20}=\dfrac{5}{20}=\dfrac{1}{4}\)
a: \(=\dfrac{-5}{8}+\dfrac{7}{12}=\dfrac{-15}{24}+\dfrac{14}{24}=\dfrac{-1}{24}\)
b: \(=\dfrac{3}{4}-\dfrac{5}{6}+\dfrac{11}{12}=\dfrac{9}{12}-\dfrac{10}{12}+\dfrac{11}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)
c: \(=\dfrac{6}{36}-\dfrac{1}{36}=\dfrac{5}{36}\)
d: \(=\dfrac{5}{12}+\dfrac{5}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)
e: \(=\dfrac{-8}{56}-\dfrac{7}{56}=\dfrac{-15}{56}\)
f: \(=\dfrac{-5}{15}+\dfrac{3}{25}=\dfrac{-25}{75}+\dfrac{9}{75}=\dfrac{-16}{75}\)
12) \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
\(=3-\sqrt{6}+3\sqrt{3}-2\sqrt{2}\)
13) \(\sqrt{46-6\sqrt{5}}-\sqrt{29-12\sqrt{5}}\)
\(=3\sqrt{5}-1-2\sqrt{5}+3\)
\(=\sqrt{5}+2\)
Học sinh nhẩm và ghi kết quả như sau:
6 x 4 = 24
6 x 2 = 12
6 x 5 = 30
6 x 1 = 6
24 : 6 = 4
12 : 6 = 2
30 : 6 = 5
6 : 6 = 1
24 : 4 = 6
12 : 2 = 6
30 : 5 = 6
6 : 1 = 6
(có thể nêu nhận xét: lấy tích chia cho một thừa số được thừa số kia)
a: \(=\left(\dfrac{4}{9}+\dfrac{5}{9}\right)+\left(\dfrac{1}{8}+\dfrac{7}{8}\right)=1+1=2\)
b: \(=\left(\dfrac{1}{6}+\dfrac{4}{6}+\dfrac{7}{6}\right)+\left(\dfrac{5}{12}+\dfrac{7}{12}\right)=2+1=3\)
\(\frac{5}{6}\cdot\frac{7}{12}+\frac{5}{12}\cdot\frac{5}{6}+\frac{1}{6}\)
\(=\frac{5}{6}\cdot\left(\frac{7}{12}+\frac{5}{12}\right)+\frac{1}{6}\)
\(=\frac{5}{6}\cdot1+\frac{1}{6}\)
\(=\frac{5}{6}+\frac{1}{6}\)
\(=1\)
\(\left(\frac{8}{15}\cdot\frac{3}{4}\cdot\frac{5}{4}\right):\frac{7}{8}\)
\(=\frac{4\cdot2\cdot3\cdot5}{3\cdot5\cdot4\cdot2\cdot2}:\frac{7}{8}\)
\(=\frac{1}{2}:\frac{7}{8}\)
\(=\frac{1}{2}\cdot\frac{8}{7}\)
\(=\frac{4}{7}\)
`5/12+1/6`
`=5/12+2/12`
`=7/12`
\(\dfrac{5}{12}+\dfrac{1}{6}=\dfrac{5}{12}+\dfrac{2}{12}=\dfrac{7}{12}\)