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Of the numbers below, which is the greatest one that still lies between $\frac{1}{2}$ and $\frac{5}{9}$ ?

Class 7Rational Numbers Between Two NumbersRational Numbers

A $\frac{4}{7}$
B $\frac{5}{9}$
C $\frac{6}{11}$
D $\frac{11}{20}$

Step-by-Step Solution

\frac{1}{2} = 0.5, \frac{5}{9} \approx 0.556. \frac{6}{11} \approx 0.545

and

\frac{11}{20} = 0.55

both fit; 0.55 is greater.

\frac{5}{9}

is an end point, and

\frac{4}{7} \approx 0.571

is outside.

Answer: D)

\frac{11}{20}

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