What is 1+(5((0.5)/s+0.5))/((2s+1)(0.1s+1)) ?

The solution to 1+(5((0.5)/s+0.5))/((2s+1)(0.1s+1)) is 1+(5(s+1))/(2s(2s+1)(0.1s+1))

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simplify 1+(5((0.5)/s+0.5))/((2s+1)(0.1s+1))

simplify

1 + \frac{5 ( \frac{0.5}{s} + 0.5 )}{( 2 s + 1 ) ( 0.1 s + 1 )}

1 + \frac{5 ( s + 1 )}{2 s ( 2 s + 1 ) ( 0.1 s + 1 )}

Solution steps

1 + \frac{5 ( \frac{0.5}{s} + 0.5 )}{( 2 s + 1 ) ( 0.1 s + 1 )}

Simplify

5 (\frac{0.5}{s} + 0.5) : \frac{5 ( s + 1 )}{2 s}

= 1 + \frac{\frac{5 ( s + 1 )}{2 s}}{( 2 s + 1 ) ( 0.1 s + 1 )}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

\frac{\frac{5 ( s + 1 )}{2 s}}{( 2 s + 1 ) ( 0.1 s + 1 )} = \frac{5 ( s + 1 )}{2 s ( 2 s + 1 ) ( 0.1 s + 1 )}

= 1 + \frac{5 ( s + 1 )}{2 s ( 2 s + 1 ) ( 0.1 s + 1 )}

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What is 1+(5((0.5)/s+0.5))/((2s+1)(0.1s+1)) ?
The solution to 1+(5((0.5)/s+0.5))/((2s+1)(0.1s+1)) is 1+(5(s+1))/(2s(2s+1)(0.1s+1))