Find three rational numbers between frac{5}{7 | vedclass

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Question

(A) To find three rational numbers between $\frac{5}{7}$ and $\frac{6}{7}$,we can multiply the numerator and denominator of both fractions by $(3+1) =

Vedclass · Accepted Answer

$\frac{51}{70}, \frac{52}{70}, \frac{53}{70}$

Vedclass · Answer

(A) To find three rational numbers between $\frac{5}{7}$ and $\frac{6}{7}$,we can multiply the numerator and denominator of both fractions by $(3+1) = 4$ or any larger number like $10$.Multiplying by $10$:$\frac{5}{7} = \frac{5 	imes 10}{7 	imes 10} = \frac{50}{70}$$\frac{6}{7} = \frac{6 	imes 10}{7 	imes 10} = \frac{60}{70}$Now,we can choose any three rational numbers between $\frac{50}{70}$ and $\frac{60}{70}$,such as $\frac{51}{70}, \frac{52}{70}, 	ext{ and } \frac{53}{70}$.Thus,three rational numbers between $\frac{5}{7}$ and $\frac{6}{7}$ are $\frac{51}{70}, \frac{52}{70}, 	ext{ and } \frac{53}{70}$.

Find three rational numbers between $\frac{5}{7}$ and $\frac{6}{7}$.

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