Câu 1 (1,5 điểm) Thực hiện phép tính: a) $\frac{23}{7}$ + $\frac{4}{3}$ - $\frac{9}{7}$ + $\frac{10}{6}$ b) ($\frac{5}{8}$ - $\frac{\sqrt{9}}{12}$) : $\frac{3}{4}$ + $\frac{11}{8}$ : $\frac{3}{4}$ c) (0,(3) + $\frac{|-2|}{3}$) : $\frac{\sqrt{25}}{4}$ - $(2³ + 3²)^{0}$

Đáp án+Giải thích các bước giải:

a) `23/7 + 4/3 - 9/7 + 10/6`

`= 23/7 + 4/3 - 9/7 + 5/3`

`= (23/7 - 9/7) + (4/3 + 5/3)`

`= 14/7 + 9/3`

`= 2 + 3`

`= 5`

b) `(5/8 - (sqrt9)/12) : 3/4 + 11/8 : 3/4`

`= (5/8 - 3/12) : 3/4 + 11/8 : 3/4`

`= (5/8 - 1/4) * 4/3 + 11/8 * 4/3`

`= 4/3 * (5/8 - 1/4 + 11/8)`

`= 4/3 * (16/8 - 1/4)`

`= 4/3 * (2 - 1/4)`

`= 4/3 * (8/4 - 1/4)`

`= 4/3 * 7/4`

`= 7/3`

c) `(0,(3) + (|-2|)/3) : (sqrt25)/4 - (2^3 + 3^2)^0`

`= (1/3 + 2/3) : 5/4 - 1`

`= 3/3 : 5/4 - 1`

`= 1 * 4/5 - 1`

`= 4/5 - 5/5`

`= -1/5`

`\ttcolor{red}{#T2}`