Find four rational numbers between (2)/(7)" to "(8)/(21)

Convert to common denominator: Convert (8/21) to a common denominator with (2/7). (8/21) = (8/21) * (1) = (8/21), (2/7) = (2/7) * (3/3) = (6/21), Now we have (6/21) and (8/21). Find the difference: Find the difference between the two fractions. Difference = (8/21) - (6/21) = (2/21). Divide by 5 for step size: Divide the difference by 5 to find the step size for four numbers. Step size = (2/21) / 5 = (2/105). Calculate first number: Calculate the first rational number. First number = (6/21) + (2/105) = (30/105) + (2/105) = (32/105). Calculate second number: Calculate the second rational number. Second number = (32/105) + (2/105) = (34/105). Calculate third number: Calculate the third rational number. Third number = (34/105) + (2/105) = (36/105). Calculate fourth number: Calculate the fourth rational number. Fourth number = (36/105) + (2/105) = (38/105).

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Q. Find four rational numbers between

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\frac{2}{7} \text { to } \frac{8}{21}

Convert to common denominator: Convert $(\frac{8}{21})$ to a common denominator with $(\frac{2}{7})$ . $\frac{8}{21} = \frac{8}{21} \times 1 = \frac{8}{21}$ , $\frac{2}{7} = \frac{2}{7} \times \frac{3}{3} = \frac{6}{21}$ ,Now we have $(\frac{6}{21})$ and $(\frac{8}{21})$ .
Find the difference: Find the difference between the two fractions. $\newline$ Difference = $(\frac{8}{21}) - (\frac{6}{21}) = (\frac{2}{21})$ .
Divide by $5$ for step size: Divide the difference by $5$ to find the step size for four numbers. $\newline$ Step size = $(2/21) / 5 = (2/105)$ .
Calculate first number: Calculate the first rational number. $\newline$ First number = $(\frac{6}{21}) + (\frac{2}{105}) = (\frac{30}{105}) + (\frac{2}{105}) = (\frac{32}{105})$ .
Calculate second number: Calculate the second rational number. $\newline$ Second number = $(\frac{32}{105}) + (\frac{2}{105}) = (\frac{34}{105})$ .
Calculate third number: Calculate the third rational number. $\newline$ Third number = $(\frac{34}{105}) + (\frac{2}{105}) = (\frac{36}{105})$ .
Calculate fourth number: Calculate the fourth rational number. $\newline$ Fourth number = $(\frac{36}{105}) + (\frac{2}{105}) = (\frac{38}{105})$ .