Question

Find 5 rational numbers between 4/7 and 5/7.​

Answer 1

Step-by-step explanation:

4×2=8. 4×3=12. 4×4=16

7×2=14. 7×3=21. 7×4=28

4×5=20. 4×6=24

7×5=35. 7×6=42

so,8/14, 12/21, 16/28, 20/35, 24/42 are the rational no. which comes between 4/7&5/7

Answer 2

$\large{\frak{\red{Answer}}}$

• The LCM of 7 and 7 is 7.

${\sf{\mathbb{{\red{So,}}}}}$

$\mathbb{\sf{\frac{4}{7} = {\purple{ \frac{4}{7} \times \frac{1}{1}}}}} ={\orange{ \frac{4}{7} }} \: {\green{and}} \: \mathbb{\sf{\frac{5}{7} = {\purple{ \frac{5}{7} \times \frac{1}{1}}}}} = {\orange{\frac{5}{7}}}$

Here, the 5 rational number between 4/7 and 5/7 are not come.

${\sf{\mathbb{{\red{So,}}}}}$

$\mathbb{\sf{ \frac{4}{7}} = {\purple{ \frac{4}{7} \times \frac{10}{10}}} = {\orange{ \frac{40}{70}}}} \: {\green{and}} \: \mathbb{\sf{ \frac{5}{7}} = {\purple{ \frac{5}{7} \times \frac{10}{10}}} = {\orange{ \frac{50}{70}}}}$

Hence, the 5 rational number between 40/70 and 50/70 is 41/70, 42/70, 43/70, 44/70, 45/70.

$\pmb{\mathbb{\fbox{\red{Hope it's help you}}}}$