Final answer:
The expression 1/9 (45y + 8) simplifies to 5y + 8/9 when you use the distributive property to multiply each term inside the parentheses by 1/9.
Step-by-step explanation:
The student has asked how to apply the distributive property to the expression 1/9 (45y + 8). The distributive property states that you can multiply a sum by multiplying each addend separately and then adding the products. In this case, you will distribute the 1/9 across both 45y and 8.
To compute this expression, multiply each term inside the parentheses by 1/9 as follows:
- 1/9 × 45y = 5y (because 1/9 of 45 equals 5)
- 1/9 × 8 = 8/9 (because 8 multiplied by 1/9 is simply 8/9)
So the expression 1/9 (45y + 8) simplifies to 5y + 8/9.