Question

Find five rational numbers between 1/4 and 1/2 .

Find ten rational number between -2/5 and 1/2 .

Answer 1

Hi ,

1 ) 1/4 = ( 1×5)/(4×5 ) = 5/20 = 10/40

1/2 =(1×10)/(2×10 ) = 1/20 = 2/40

Therefore ,

5 Rational numbers between ,

[ 1/2 = 2/40 ] and [ 1/4 = 10/40 ] are

3/40, 4/40 , 5/40 , 6/40 , 7/40

2 )

-2/5 = (-2 ×2)/(5×2 ) = -4/10 = - 12/30

1/2 = (1×5)/(2×5) = 5/10 = 15/30

Therefore ,

ten Rational numbers between

[ -2/5 = -12/30 ] and [ 1/2 = 15/30 ] are

-11/30,-10/30 , -9/30 ,-8/30 , -7/30 ,

-6/30 , -5/30 , -4/30 , -3/30 , -2/30

I hope this helps you.

: )

Answer 2

1/4 and 1/2

1 /4 ✖ 2= 2/8

1/2 ✖ 4= 4/8

n=10+1=11

2/8 ✖ 11= 22/88

4/8 ✖ 11= 44/88

So, 10 rational numbers between 1/4 and 1/2 are 23/88_ _ _ _ _ _ _ _ _ _ _

43/88