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A farmer owns a total of 10 acres of land. The land is separated into 4 2/3 equally sized sections. How many acres are in each section? Write your answer as a mixed number in simplest form.

User Padigan
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2 Answers

3 votes

Final answer:

To find the number of acres in each section, divide the total number of acres by the number of sections.

Step-by-step explanation:

To find the number of acres in each section, we need to divide the total number of acres by the number of sections.

Starting with 10 acres, we divide it by 4 2/3. To divide a mixed number, we first convert it to an improper fraction. 4 2/3 is equivalent to (4 x 3 + 2)/3 = 14/3.

Now, we can divide 10 by 14/3. Dividing by a fraction is the same as multiplying by its reciprocal. So, we have 10 x (3/14) = 30/14 = 15/7 acres in each section.

User Chulo
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6.3k points
4 votes

Answer:

2 1/7

Step-by-step explanation:

10 divided by 4 2/3.

3*4+2 is 14/3

10 * 3/14

30 /14 or 2 1/7

Hope this helps!

Merry Christmas!

User Pan Ruochen
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6.2k points