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Percy and Jim are calling their customers. Percy has called 910\frac{9}{10} of his customers. Jim has called 19\frac{1}{9} of his customers. Who has called a greater fraction of his customers?\newlineA)Percy\newlineB)Jim\newline

Full solution

Q. Percy and Jim are calling their customers. Percy has called 910\frac{9}{10} of his customers. Jim has called 19\frac{1}{9} of his customers. Who has called a greater fraction of his customers?\newlineA)Percy\newlineB)Jim\newline
  1. Compare Fractions: Compare the fractions to determine who has called a greater fraction of their customers. Percy has called (910)(\frac{9}{10}) of his customers, and Jim has called (19)(\frac{1}{9}) of his customers. To compare these fractions, we can look at the numerators and denominators directly since the fractions are in their simplest form.
  2. Analyze Fractions: Analyze the fractions.\newlineThe fraction (910)(\frac{9}{10}) is very close to 11, as 99 is only 11 less than 1010. On the other hand, the fraction (19)(\frac{1}{9}) is much smaller than 11, as 11 is 88 less than 99. Without performing any calculations, we can see that (910)(\frac{9}{10}) is greater than (19)(\frac{1}{9}).
  3. Conclude Comparison: Conclude which fraction is greater.\newlineSince (910)(\frac{9}{10}) is closer to 11 than (19)(\frac{1}{9}), Percy has called a greater fraction of his customers than Jim.

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