Find three rational numbers between frac{1}{7 | vedclass

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Question

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

Vedclass · Accepted Answer

$\frac{3}{14}, \frac{4}{14}, \frac{5}{14}$

Vedclass · Answer

(B) To find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$,we can multiply the numerator and denominator of both fractions by $(3 + 1) = 4$ or any larger integer to increase the gap.Multiplying by $2$ (since $2$ is between $1$ and $3$): $\frac{1}{7} = \frac{1 	imes 2}{7 	imes 2} = \frac{2}{14}$$\frac{3}{7} = \frac{3 	imes 2}{7 	imes 2} = \frac{6}{14}$The rational numbers between $\frac{2}{14}$ and $\frac{6}{14}$ are $\frac{3}{14}, \frac{4}{14}, 	ext{and } \frac{5}{14}$.Thus,the three rational numbers are $\frac{3}{14}, \frac{2}{7}, 	ext{and } \frac{5}{14}$.

Find three rational numbers between $\frac{1}{7}$ and $\frac{3}{7}$.

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