Answer:
6/7 + 4/21m + 2n
Explanation:
The expression 2/7 * (9 + 2/3m + 7n) can be simplified as follows:
Step 1: Simplify the expression inside the parentheses:
9 + 2/3m + 7n = 9 + (2/3)m + 7n
Step 2: Multiply the simplified expression inside the parentheses by 2/7:
2/7 * (9 + (2/3)m + 7n) = 2/7 * (9 + (2/3)m + 7n)
Step 3: Distribute the 2/7 to each term inside the parentheses:
2/7 * 9 + 2/7 * (2/3)m + 2/7 * 7n
Step 4: Simplify the expression by multiplying each term by 2/7:
(2/7) * 9 = 6/7
(2/7) * (2/3)m = 4/21m
(2/7) * 7n = 2n
Step 5: Combine like terms:
6/7 + 4/21m + 2n = 6/7 + 4/21m + 2n
The final result of the product is 6/7 + 4/21m + 2n.