Question

find the 10th rational number between 5 upon 3 and 7 upon 4

Answer 1

first take the LCM of deno.
LCM of 5 and 7=35
3/5×7=21/35
4/7×5=20/35
Then multiply it by 10
21/35×10=210/350
20/35×10=200/350
Choose any no. between them
Say - 202/350,205/350,
207/350

Answer 2

To find:- 10 rational numbers between 5/3 and 7/4.
=> 5/3 and 7/4

making equal denominators by taking L.C.M.

L.C.M. of 3 and 4 => 12
So,

5/3×4 and 7/4×3
=> 5/12 and 7/12

Now multiplying by 11 because we have to find 10 rational numbers.

5×11/12×11 and 7×11/12×11
=> 55/132 and 77/132
=> 56/132, 57/132, 58/132, 59/132, 60/132, 61/132, 62/132, 63/132, 64/132, 65/132.