Question

Insert three rational number between 3/5 and 2/3 ?

Answer 1

Answer:

Step-by-step explanation:

a ) 3/5 = ( 3 × 3 ) / ( 5 × 3 ) = 9/15

= 18/30 = 36/60

b ) 2/3 = ( 2 × 5 ) / ( 3 × 5 ) = 10/15

= 20/30 = 40/60

[ 3/5 = 36/60 ] < 37/60< 38/60<39/60< [ 40/60 = 2/3 ]

Therefore ,

Required 3 numbers are ,

37/60 , 38/60 , 39/60

I hope this helps you.

Answer 2

✪Question:-

➠ Insert three rational number between 3/5 and 2/3 ?

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✪Solution:-

⠀

★Given rational numbers =

• $\frac{3}{5}$ and $\frac{2}{3}$

⠀

Multiplying $\frac{12}{12}$ to $\frac{3}{5}$ = $\frac{3 × 12}{5 × 12}$

= $\frac{36}{60}$

⠀

Similarly,

Multiplying $\frac{20}{20}$ to $\frac{2}{3}$ = $\frac{2 × 20}{3 × 20}$

= $\frac{40}{60}$

⠀

$\boxed{Now}$

⠀

•°• Three rational numbers between $\frac{36}{60}$ and $\frac{40}{60}$ are

= $\frac{37}{60}$ , $\frac{38}{60}$ and $\frac{39}{60}$

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