Dividing is the same as multiplying a value by its reciprocal. The reciprocal is the value when you swap the numerator and the denominator. For example, the reciprocal of \(7 \over 9 \) is \(9 \over 7\).
This means that \({5 \over 8} \div {7 \over 9} = {5 \over 8 } \times {9 \over 7}\). Notice how the first fraction is the same, and ONLY the second fraction was converted into a reciprocal.
Can you take it from here?