Question

Find seven rational numbers between 3/7 and 4/7​

Answer 1

Answer:

4,5,6

Step-by-step explanation:

and between 4/7=5,6

Answer 2

Given :-

$\sf \bullet \;\; \; \dfrac{3}{7} \; and \; \dfrac{4}{7}$

To Find :-

• Seven rational numbers between them

Solution :-

~Here, we're given two fractions with same denominator ( like fractions ) and we need to find seven rational numbers between them. So we need to multiply both numerator and denominator with any number which is bigger than 7 to find the rational numbers between them .

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Finding the rational numbers :-

→ Let's multiply them with 10.

$\sf \dashrightarrow \dfrac{3 \times 10}{7 \times 10} = \dfrac{30}{70}$  

$\sf \dashrightarrow \dfrac{4 \times 10 }{7 \times 10} = \dfrac{40}{70}$

Seven rational numbers between them are

$\sf \implies \dfrac{31}{70} , \dfrac{32}{70} , \dfrac{33}{70}$

$\sf \implies \dfrac{34}{70} , \dfrac{35}{70} , \dfrac{36}{70} , \dfrac{37}{70}$

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Hence,

• The seven rational numbers between 3/7 and 4/7 are 31/70 , 32/70 , 33/70 , 34/70 , 35/70 , 36/70 , 37/70

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