Colin noticed it rained 7/8 of the days that he recorded the weather in Jackson County. In Putnam County, Hector found that it rained 1/6 of the days he kept records. According to the records, which county had rain a greater fraction of the time? Choices: (A)Jackson County (B)Putnam County

Compare Fractions: Compare the fractions of rainy days in Jackson County and Putnam County. Jackson County: 7/8 days. Putnam County: 1/6 days. To find which is greater, compare 7/8 and 1/6 directly.Convert to Common Denominator: Convert fractions to a common denominator to make comparison easier. Common denominator of 8 and 6 is 24. Convert 7/8 to 24ths: (7/8) * (3/3) = 21/24. Convert 1/6 to 24ths: (1/6) * (4/4) = 4/24.Compare New Fractions: Compare the two new fractions: 21/24 (Jackson County) is greater than 4/24 (Putnam County). Therefore, Jackson County had rain a greater fraction of the time.

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Colin noticed it rained $\frac{7}{8}$ of the days that he recorded the weather in Jackson County. In Putnam County, Hector found that it rained $\frac{1}{6}$ of the days he kept records. According to the records, which county had rain a greater fraction of the time? $\newline$ Choices: $\newline$ (A)Jackson County $\newline$ (B)Putnam County

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Algebra 2

Transformations of absolute value functions

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Q. Colin noticed it rained

\frac{7}{8}

of the days that he recorded the weather in Jackson County. In Putnam County, Hector found that it rained

\frac{1}{6}

of the days he kept records. According to the records, which county had rain a greater fraction of the time?

\newline

Choices:

\newline

(A)Jackson County

\newline

(B)Putnam County

Compare Fractions: Compare the fractions of rainy days in Jackson County and Putnam County. $\newline$ Jackson County: $\frac{7}{8}$ days. $\newline$ Putnam County: $\frac{1}{6}$ days. $\newline$ To find which is greater, compare $\frac{7}{8}$ and $\frac{1}{6}$ directly.
Convert to Common Denominator: Convert fractions to a common denominator to make comparison easier. $\newline$ Common denominator of $8$ and $6$ is $24$ . $\newline$ Convert $\frac{7}{8}$ to $24$ ths: $\left(\frac{7}{8}\right) * \left(\frac{3}{3}\right) = \frac{21}{24}$ . $\newline$ Convert $\frac{1}{6}$ to $24$ ths: $\left(\frac{1}{6}\right) * \left(\frac{4}{4}\right) = \frac{4}{24}$ .
Compare New Fractions: Compare the two new fractions: $\frac{21}{24}$ (Jackson County) is greater than $\frac{4}{24}$ (Putnam County). Therefore, Jackson County had rain a greater fraction of the time.