What is (0.82585)/((1+0.088582S)(1+0.014589S)) ?

The solution to (0.82585)/((1+0.088582S)(1+0.014589S)) is (16517)/(20000(1+0.088582S)(1+0.014589S))

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simplify (0.82585)/((1+0.088582S)(1+0.014589S))

simplify

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

\frac{16517}{20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

Solution steps

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

Simplify

\frac{0.82585}{( 1 + 0.088582 S ) ( 1 + 0.014589 S )} : \frac{82585}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

= \frac{82585}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

Factor the number:

82585 = 5 \cdot 16517

= \frac{5 \cdot 16517}{100000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

Factor the number:

100000 = 5 \cdot 20000

= \frac{5 \cdot 16517}{5 \cdot 20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

Cancel the common factor:

5

= \frac{16517}{20000 ( 1 + 0.088582 S ) ( 1 + 0.014589 S )}

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What is (0.82585)/((1+0.088582S)(1+0.014589S)) ?
The solution to (0.82585)/((1+0.088582S)(1+0.014589S)) is (16517)/(20000(1+0.088582S)(1+0.014589S))