Mr. Joseph Bought 9 pounds of fertilizer for his lawn. He uses 2 2/3 pounds for his backyard and 1 2/9 pounds. How much fertilizer is left

1 answer

To find the amount of fertilizer left, we need to subtract the amount used from the total amount of fertilizer bought.
The amount used in the backyard is 2 2/3 pounds.
Since 2 2/3 can be written as an improper fraction, it is equal to (3*2) + 2 = (6+2) = 8/3 pounds.
The amount used in the front yard is 1 2/9 pounds.
Since 1 2/9 can be written as an improper fraction, it is equal to (9*1)+2=11/9 pounds.
Together, the amount used is 8/3 + 11/9 pounds = 24/9 + 11/9 pounds = 35/9 pounds.
The amount of fertilizer left is 9 pounds - 35/9 pounds.
To subtract 35/9 pounds from 9 pounds, we need to first find a common denominator, which is 9.
Converting 9 to a fraction with a denominator of 9 gives 81/9.
Subtracting 35/9 pounds from 81/9 pounds gives us (81-35)/9 = 46/9 pounds.
Therefore, Mr. Joseph has 46/9 pounds of fertilizer left.