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Yesterday, $\frac{3}{5}$ of the flights at Logan County Airport were delayed. At Cass County Airport, $\frac{2}{9}$ of the flights were delayed. Which airport had a higher fraction of delayed flights? $\newline$ A)Logan County Airport $\newline$ B)Cass County Airport $\newline$

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Multiply fractions: word problems

Full solution

Q. Yesterday,

\frac{3}{5}

of the flights at Logan County Airport were delayed. At Cass County Airport,

\frac{2}{9}

of the flights were delayed. Which airport had a higher fraction of delayed flights?

\newline

A)Logan County Airport

\newline

B)Cass County Airport

\newline

Compare Fractions: Compare the fractions to determine which one is larger. $\newline$ We have two fractions to compare: $(\frac{3}{5})$ for Logan County Airport and $(\frac{2}{9})$ for Cass County Airport. To compare these fractions, we can either convert them to decimals or find a common denominator and compare the numerators.
Convert to Decimals: Convert the fractions to decimals. $\newline$ $(3/5) = 0.6$ $\newline$ $(2/9) \approx 0.222...$ $\newline$ Now we can see which decimal is larger.
Determine Higher Fraction: Determine which airport had a higher fraction of delayed flights. $\newline$ Since $0.6$ (Logan County Airport) is greater than $0.222\ldots$ (Cass County Airport), Logan County Airport had a higher fraction of delayed flights.

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