`@` `\text {Ans}`
`\downarrow`
`a)`
`17/11 - (6/5 - 16/11) + 26/5`
`= 17/11 - 6/5 + 16/11 + 26/5`
`= (17/11 + 16/11) - (6/5 - 26/5)`
`= 33/11 - (-20/5)`
`= 3 - (-4)`
`= 3+4 = 7`
`b)`
\( \left(7-\dfrac{1}{2}-\dfrac{5}{4}\right)\div\left(5-\dfrac{2}{3}-\dfrac{1}{6}\right)\)
`= (13/2 - 5/4) \div (13/3 - 1/6)`
`= 21/4 \div 25/6`
`= 63/50`
`c)`
\(\dfrac{\left(0,2\right)^5\cdot\left(0,3\right)^3}{\left(0,2\right)^7\cdot\left(0,3\right)^4}\)
`=`\(\dfrac{1}{\left(0,2\right)^2\cdot0,3}=\dfrac{1}{0,012}=\dfrac{250}{3}\)
`d)`
\(\left(\dfrac{2}{7}\cdot\dfrac{3}{5}+\dfrac{2}{5}\cdot\dfrac{4}{7}\right)+\left|-2\dfrac{1}{4}\right|\div\dfrac{4}{3}\)
`= (2/7 * 3/5 + 4/5*2/7) + 9/4*3/4`
`= 2/7*(3/5 + 4/5) + 27/16`
`= 2/7*7/5 + 27/16`
`= 2/5 + 27/16`
`=``167/80`
a: =17/11-6/5+16/11+26/5
=4+3=7
b: \(=\dfrac{28-2-5}{4}:\dfrac{30-4-1}{6}=\dfrac{23}{4}\cdot\dfrac{6}{25}=\dfrac{69}{50}\)
c: \(=\dfrac{0.2^5}{0.2^7}\cdot\dfrac{0.3^3}{0.3^4}=\dfrac{1}{0.3\cdot0.2^2}=\dfrac{250}{3}\)
d: \(=\dfrac{2}{7}\left(\dfrac{3}{5}+\dfrac{4}{5}\right)+\dfrac{9}{4}\cdot\dfrac{3}{4}\)
\(=\dfrac{2}{5}+\dfrac{27}{16}=\dfrac{167}{80}\)