book Maths Puzzle Numerical Ability

The quotient of two fractions is equal to the product of the first and the reciprical of the second. Why? a/b/c/d=a/bx1/c/d=a/bxd/c ?

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book Other Question

how do you write the equation of a line in standard form with a slope of 3 and ay intercept of 2 I do not understand how to solve this inequality:
(3t-4)/3>or = (2t+4)/6+(5t-1)/9

Thank you.