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Iyping Drea mbox Learning... Lumio Student Apps Page Astronorny Picture... FastBridge Leaming.. Lumio Lexia Core5 Readin... Dance Module Knowledge Check Question 20 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. acres Don't Know Submit Search. 2024 McGraw Hill UC. All Rights Rese

Iyping\newlineDrea mbox Learning...\newlineLumio\newlineStudent Apps Page\newlineAstronorny Picture...\newlineFastBridge Leaming..\newlineLumio\newlineLexia Core55 Readin...\newlineDance\newlineModule Knowledge Check\newlineQuestion 2020\newlineA farmer owns a total of 1010 acres of land. The land is separated into 423 4 \frac{2}{3} equally sized sections. How many acres are in each section?\newlineWrite your answer as a mixed number in simplest form.\newlineacres\newlineDon't Know\newlineSubmit\newlineSearch.\newline20242024 McGraw Hill UC. All Rights Rese

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Q. Iyping\newlineDrea mbox Learning...\newlineLumio\newlineStudent Apps Page\newlineAstronorny Picture...\newlineFastBridge Leaming..\newlineLumio\newlineLexia Core55 Readin...\newlineDance\newlineModule Knowledge Check\newlineQuestion 2020\newlineA farmer owns a total of 1010 acres of land. The land is separated into 423 4 \frac{2}{3} equally sized sections. How many acres are in each section?\newlineWrite your answer as a mixed number in simplest form.\newlineacres\newlineDon't Know\newlineSubmit\newlineSearch.\newline20242024 McGraw Hill UC. All Rights Rese
  1. Divide Total Acres: The farmer has 1010 acres of land divided into 4(23)4\left(\frac{2}{3}\right) sections. To find the size of each section, divide the total acres by the number of sections.
  2. Calculate Section Size: Calculate the size of each section: 1010 acres ÷\div 4(23)4(\frac{2}{3}) acres.
  3. Convert to Improper Fraction: First, convert the mixed number 4(23)4\left(\frac{2}{3}\right) to an improper fraction: 4(23)=(4×3+2)/3=(12+2)/3=1434\left(\frac{2}{3}\right) = \left(4 \times 3 + 2\right)/3 = \left(12 + 2\right)/3 = \frac{14}{3}.
  4. Divide by Fraction: Now divide 1010 acres by 143\frac{14}{3}: 10÷(143)=10×(314)=3014.10 \div \left(\frac{14}{3}\right) = 10 \times \left(\frac{3}{14}\right) = \frac{30}{14}.
  5. Simplify Fraction: Simplify the fraction 3014\frac{30}{14} by dividing both numerator and denominator by their greatest common divisor, which is 22: 3014=(30÷214÷2)=157.\frac{30}{14} = \left(\frac{30 \div 2}{14 \div 2}\right) = \frac{15}{7}.
  6. Convert to Mixed Number: Convert the improper fraction 157\frac{15}{7} back to a mixed number: 15÷7=215 \div 7 = 2 with a remainder of 11, so 157=2(17)\frac{15}{7} = 2\left(\frac{1}{7}\right).

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