Calculating the Multiplicative Inverse of 3/11 x - 6/5
The multiplicative inverse of a number is the reciprocal of that number which, when multiplied, results in a product of 1. To find the multiplicative inverse of the expression 3/11 x - 6/5, we need to take the reciprocal of the entire expression.

Step 1: Finding the Reciprocal
To find the reciprocal of 3/11 x - 6/5, we simply flip the expression upside down. The reciprocal of a fraction is obtained by interchanging the numerator and the denominator. Therefore, the reciprocal of 3/11 x - 6/5 is 1 / (3/11 x - 6/5).

Step 2: Simplifying the Reciprocal
To simplify the reciprocal further, we need to take the reciprocal of each individual term in the expression. The reciprocal of 3/11 is 11/3 and the reciprocal of 6/5 is 5/6. Therefore, the simplified reciprocal of 3/11 x - 6/5 is 1 / ((11/3) x - (5/6)).

Step 3: Multiplicative Inverse
The multiplicative inverse of 3/11 x - 6/5 is the simplified reciprocal 1 / ((11/3) x - (5/6)). This expression, when multiplied by 3/11 x - 6/5, will result in a product of 1.
Therefore, the multiplicative inverse of 3/11 x - 6/5 is 1 / ((11/3) x - (5/6)).

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