To evaluate the expression 12а-3в÷12а+3в when в is equal to -5/6, we substitute -5/6 for в in the expression:
12а - 3(-5/6) ÷ 12а + 3(-5/6)
Simplifying:
12а + 5/2 ÷ 12а - 5/2
To divide fractions, we can multiply the first fraction by the reciprocal of the second:
(12а + 5/2) * (2/12а - 5)
Expanding:
24а/12а + 10/12а - 120а - 25/12а - 25
Simplifying:
2 + 10/12а - 120а - 25/12а - 25
Combining like terms:
(2 - 25) + (10/12а - 25/12а) - 120а
-23 + (10 - 25)/12а - 120а
Simplifying the fraction:
-23 + (-15)/12а - 120а
-23 - 5/4а - 120а
To simplify further, we need the value of а. Once you provide the value of а, we can continue evaluating the expression.
