Question

Find 4 rational numbers between 2/5 and 3/7​

Answer 1

Answer:

Step-by-step explanation:

2/5 , 3/7

14/ 35 , 15/ 35 (taking LCM)

140/350 , 150/350 ( × by 10)

141/350 , 142/350 , 143/350 , 144/350

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Answer 2

Question ::-

Find 4 rational numbers between $\dfrac{2}{5}$ and $\dfrac{3}{7}$?

Solution ::-

Step 1. Firstly , take LCM of $\dfrac{2}{5}$ and $\dfrac{3}{7}$

LCM of 5 and 7 = 35

Step 2. Now make them like fractions.

$\dfrac{2}{5}$ = $\dfrac{2×7}{5×7}$ = $\dfrac{14}{35}$

$\dfrac{3}{7}$ = $\dfrac{3×5}{7×5}$ = $\dfrac{15}{35}$

Step 3. Now multiply both like fractions by 5 in case of finding 4 rational numbers between them .

$\dfrac{14}{35}$ = $\dfrac{14×5}{35×5}$ = $\dfrac{70}{175}$

$\dfrac{14}{35}$ = $\dfrac{15×5}{35×5}$ = $\dfrac{75}{175}$

Step 4. hence , it's solved :)

Four rational numbers are ::-

$\dfrac{71}{35}$ , $\dfrac{72}{35}$ , $\dfrac{73}{35}$ , $\dfrac{74}{35}$