Answer :
Final answer:
Each home will receive 20 7/16 pounds of mulch when 122 5/8 pounds are distributed equally among six homes.
Explanation:
The landscaper has 122 5/8 pounds of mulch to distribute evenly to six homes.
To find out how much mulch each home will receive, we need to divide the total amount of mulch by the number of homes.
Here's the step-by-step calculation:
- Convert the mixed number to an improper fraction: 122 5/8 = (122 × 8 + 5)/8 = (976 + 5)/8 = 981/8 pounds of mulch.
- Divide the improper fraction by 6 (the number of homes): (981/8) / 6 = 981/(8×6) = 981/48.
- Simplify the fraction if possible: 981/48 can be divided by 3 to get 327/16.
- Finally, convert the improper fraction back to a mixed number: 327/16 = 20 with a remainder of 7, so 20 7/16 pounds of mulch per home.
Therefore, each home will receive 20 7/16 pounds of mulch.
Learn more about Dividing Fractions here:
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