Question 1173893
expression is:


7 + 4/5 * a - 2/3 * a + 2


put both fractions under the common denominator of 15 to get:


7 + 12/15 * a - 10/15 * a + 2


combine like terms to get:


9 + 2/15 * a.


confirm by assigning a random value to a and evaluate both the original expression and the final expression to see if they provide the same value.


i chose 35 as my random value.


original expression of 7 + 4/5 * a - 2/3 * a + 2 becomes:
7 + 4/5 * 35 - 2/3 * 35 + 2 = 13 and 2/3.


final expression of 9 + 2/3 * a becomes:
9 + 2/15 * 35 = 13 and 2/3


they're the same, confirming the simplified expression provides the same value as the original expression.