Question

Find three rational numbers between 3/5 and 2/3​

Answer 1

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Answer 2

Answer:

$\huge{\boxed{\rm{\red{answer=37/60,38/60,39/60}}}}$

Step-by-step explanation:

Given numbers are 3/5 and 2/3

On converting them into like fractions

(3/5)×(3/3)=(3×3)/(5×3)=9/15

(2/3)×(5/5)=(2×5)/(3×5)=10/15

Required Rational numbers=3

write the denominator of the given fractions as3+1=4 multiple

9/15=(9/15)×(4/4)=(9×4)/(15×4)=36/60

10/15=(10/15)×(4/4)=(10×4)/(15×4)=40/60

The rational numbers between 36/60 and 40/60 are 37/60 ; 38/60 ; 39/60

The required three rational numbers are 37/60;38/60;39/60

3/5<37/60<38/60<39/60<2/3