Question

find 4 rational number between 5/9 and 7/12​

Answer 1

Answer:

1ST RATIONAL NUMBER - 41 / 72

2ND RATIONAL NUMBER - 9 /16

3RD RATIONAL NUMBER - 83 / 144

4TH RATIONAL NUMBER - 161 / 288

Step-by-step explanation:

FORMULA TO FIND IN BETWEEN RATIONAL NUMBERS

=} 1/2 ( 1ST NUMBER + 2ND NUMBER )

5 / 9 AND 7 / 12

1ST NUMBER

=} 1/2 ( 5/9 + 7/12 )

=} 1/2 ( 20 + 21 / 36 )

=} 1/2 ( 41 / 36 )

=} 1/2 × ( 41 / 36 )

=} 41 / 72

2ND NUMBER

=} 1/2 ( 5/9 + 41/72 )

=} 1/2 ( 40 + 41/72 )

=} 1/2 ( 81/72 )

=} 1/2 × ( 81/72 )

=} 1/2 × (9/8 )

=} 9 / 16

3RD NUMBER

=} 1/2 ( 7/12 + 41/72 )

=} 1/2 ( 42 + 41 / 72 )

=} 1/2 ( 83 / 72 )

=} 83 / 144

4TH NUMBER

=} 1/2 ( 5/9 + 9/16 )

=}1/2 ( 80 + 81/144 )

=}1/2 ( 161/144 )

=}1/2 × ( 161 / 144 )

=}161 / 288

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