Hello there~

Here is your answer dear -

To simplify the given expression, we can use the properties of multiplication and addition:

9/5 * (-3/12) + 9/5 * 5/6

First, let's simplify each multiplication separately:

9/5 * (-3/12) = (9 * -3) / (5 * 12) = -27 / 60 = -9/20

9/5 * 5/6 = (9 * 5) / (5 * 6) = 45/30 = 3/2

Now, we can rewrite the expression with the simplified multiplications:

(-9/20) + (3/2)

To add these fractions, we need a common denominator. The least common multiple (LCM) of 20 and 2 is 20. Therefore, we can rewrite the fractions with the common denominator:

(-9/20) + (3/2) = (-9/20) + (30/20)

Now that the fractions have a common denominator, we can add them:

(-9/20) + (30/20) = (30 - 9) / 20 = 21/20

Therefore, the value of 9/5 * (-3/12) + 9/5 * 5/6 is 21/20.

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