Answer:

Explanation:
let the denominator of the original fraction be x, then
← is the original fraction
After the given changes, that is
=
( cross- multiply )
6(x - 7) = 3(x + 16) ← distribute parenthesis on both sides
6x - 42 = 3x + 48 ( subtract 3x from both sides )
3x - 42 = 48 ( add 42 to both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
=
← the original rational number