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Answer :
To determine how much mulch each home will receive, we need to divide the total amount of mulch by the number of homes. Here's how you can do it step by step:
1. Understand the Total Amount of Mulch: The landscaper has [tex]\(122 \frac{5}{8}\)[/tex] pounds of mulch. This is a mixed number, and we need to convert it into an improper fraction (or a decimal) for easier calculation.
2. Convert the Mixed Number to a Decimal:
- The whole number part is 122.
- The fractional part is [tex]\(\frac{5}{8}\)[/tex].
To convert [tex]\(\frac{5}{8}\)[/tex] into a decimal, you divide 5 by 8, which equals 0.625.
Now add this decimal to the whole number:
[tex]\[
122 + 0.625 = 122.625
\][/tex]
So, the total amount of mulch is 122.625 pounds.
3. Divide the Total Amount by the Number of Homes: We need to distribute this total amount equally among six homes.
So, divide the total mulch (122.625 pounds) by the number of homes (6):
[tex]\[
\frac{122.625}{6} = 20.4375
\][/tex]
4. Conclusion: Each home will receive 20.4375 pounds of mulch.
1. Understand the Total Amount of Mulch: The landscaper has [tex]\(122 \frac{5}{8}\)[/tex] pounds of mulch. This is a mixed number, and we need to convert it into an improper fraction (or a decimal) for easier calculation.
2. Convert the Mixed Number to a Decimal:
- The whole number part is 122.
- The fractional part is [tex]\(\frac{5}{8}\)[/tex].
To convert [tex]\(\frac{5}{8}\)[/tex] into a decimal, you divide 5 by 8, which equals 0.625.
Now add this decimal to the whole number:
[tex]\[
122 + 0.625 = 122.625
\][/tex]
So, the total amount of mulch is 122.625 pounds.
3. Divide the Total Amount by the Number of Homes: We need to distribute this total amount equally among six homes.
So, divide the total mulch (122.625 pounds) by the number of homes (6):
[tex]\[
\frac{122.625}{6} = 20.4375
\][/tex]
4. Conclusion: Each home will receive 20.4375 pounds of mulch.
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