Question

[Đoàn Văn Ánh]

làm hộ mình nha mọi người

Answer 1

[Yen Nhi]

`Answer:`

1)

Phân số có mẫu chung là `12` nhỏ hơn `-1/12` và lớn hơn `-1/2` gồm: `-5/12; -4/12; -3/12; -2/12`

Tổng: `-5/12 + -4/12 + -3/12 + -2/12 = \frac{(-5)+(-4)+(-3)+(-2)}{12} = \frac{-14}{12} = -7/6`

2)

\(A=1+\frac{1}{8}+\frac{1}{24}+\frac{1}{48}+\frac{1}{80}+\frac{1}{120}\)

\(=\frac{1}{2.4}+\frac{1}{4.6}+\frac{1}{6.8}+\frac{1}{8.10}+\frac{1}{10.12}\)

\(=\left(1+\frac{1}{2}-\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+\frac{1}{8}-\frac{1}{10}+\frac{1}{10}\right)-\frac{1}{12}\)

\(=1+\frac{1}{2}.\left(\frac{1}{2}-\frac{1}{12}\right)\)

\(=1+\frac{5}{24}\)

\(=\frac{29}{24}\)

Answer 2

[Minh Hiếu]

\(2A=2+\dfrac{2}{2.4}+\dfrac{2}{4.6}+\dfrac{2}{6.8}+\dfrac{2}{8.10}+\dfrac{2}{10.12}\)

\(2A=2+\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{12}\)

\(2A=2+\dfrac{1}{2}-\dfrac{1}{12}=\dfrac{29}{12}\)

\(A=\dfrac{29}{12}:2=\dfrac{29}{24}\)