(a/b) divided by (c/d)
=(a/b) x (d/c) <-- notice divisor is inverted (turned upside down)
now multiply both numerators and both denominators
= (ad)/(bc)
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Because that is just how it works mathematically If you divide one vulgar (or common) fraction by a second vulgar fraction, the rule is: Invert the second fraction and then multiply them together. It is too difficult to explain why this works, using typed explanation on the computer, but just accept that it works.
Because division and multiplication are mutually inverse operations.
Invert the fraction, and multiply it by the whole number.
You may be referring to the rule for dividing fractions. To divide one fraction by another, you invert the second fraction (exchange numerator and denominator), and multiply instead.
To divide by a fraction, invert the divisor and multiply: 5/8 ÷ 5/3 = 5/8 x 3/5 = 3/8