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2 giờ 25 phút x 3 – 3,8 giờ *

=  7 giờ 15 phút - 3,8 giờ

=3,45 giờ

`25 - 15 : 5= 25 - 3 =22`

`101 × (16 – 7)= 101 xx 9=909`

`40 + 8 : 2= 40 + 4=44`

`48 : (8 : 2)= 48 : 4=12`

134.74

31/34

\(125,6+45,7:25\times5\) -> Nhân chia trước cộng trừ sau.

\(=125,6+1,828\times5\)

\(=125,6+9,14\)

\(=134,74\)

= \(\dfrac{31}{34}\)

Lời giải:

a.

$\frac{5}{15}-\frac{1}{6}\times \frac{2}{5}=\frac{5}{15}-\frac{1}{15}=\frac{4}{15}$

b.

$\frac{8}{24}+\frac{3}{4}:\frac{1}{8}=\frac{1}{3}+6=\frac{19}{3}$

c.

$\frac{1}{7}: \frac{2}{8}-\frac{1}{7}=\frac{1}{7}\times 4-\frac{1}{7}$

$=\frac{1}{7}\times (4-1)=\frac{1}{7}\times 3=\frac{3}{7}$

\(A=\dfrac{cota-tana}{tana+2\cdot cota}\)

\(=\dfrac{\dfrac{cosa}{sina}-\dfrac{sina}{cosa}}{\dfrac{sina}{cosa}+2\cdot\dfrac{cosa}{sina}}\)

\(=\dfrac{cos^2a-sin^2a}{sina\cdot cosa}:\dfrac{sin^2a+2\cdot cos^2a}{sina\cdot cosa}\)

\(=\dfrac{cos^2a-sin^2a}{sin^2a+2\cdot cos^2a}\)

\(=\dfrac{1-2\cdot sin^2a}{sin^2a+2\left(1-sin^2a\right)}\)

\(=\dfrac{1-2\cdot sin^2a}{-sin^2a+2}\)

\(=\dfrac{1-2\cdot\left(\dfrac{1}{3}\right)^2}{-\left(\dfrac{1}{3}\right)^2+2}=\dfrac{1-\dfrac{2}{9}}{-\dfrac{1}{9}+2}=\dfrac{7}{9}:\dfrac{17}{9}=\dfrac{7}{17}\)