Question

find three numbers between 3/7 and 4/9 by converting them to like rational numbers

Answer 1

[ first of all bring their dinominators equal ]
[ if the question asks for 3 no. then multiply the numbers by 4 ]

$\frac{3}{7} = \frac{3 \times 9}{7 \times 9} = \frac{27}{63} = \frac{27 \times 4}{63 \times 4} = \frac{108}{252}$

$\frac{4}{9} = \frac{4 \times 7}{9 \times 7} = \frac{28}{63} = \frac{28 \times 4}{63 \times 4} = \frac{112}{252}$


♦ Three rational no. between 3/7 & 4/9 are


$\frac{109}{252} \: \frac{110}{252} \: \frac{111}{252}$