Evaluate (2(8/15))/(1-(8/15)^2)

Problem

(2*(8/15))/(1−(8/15)2)

Solution

1. Multiply the numerator by calculating 2⋅8/15

16/15

2. Square the fraction in the denominator.

(8/15)2=64/225

3. Subtract the squared fraction from 1 by finding a common denominator.

1−64/225=225/225−64/225

(225−64)/225=161/225

4. Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator.

16/15⋅225/161

5. Simplify the expression by dividing 225 by 15.

16/1⋅15/161

240/161

Final Answer

(2*(8/15))/(1−(8/15)2)=240/161

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