book Maths Puzzle Numerical Ability

How would I solve by first eliminating the fractions?

x/2 - x/3 = 5

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book Other Question

find two consecutive integers whose sum is 83 my question asks to find the length of the diagonal of a rectangle whose length is 8m and width is 5m.
This is what i did:
e^2=8^2+5^2
e^2=64+25
e^2=89
e=9.4
Is this correct? thanks