This has the effect of producing a denominator in the answer that has each of the original denominators as factors. You don't have to worry about simplifying the fractions before multiplying. Of course, you may have to simplify after multiplying. There's no way out.
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Just straight across. 3/4 * 5/6 = 15/24 which reduces to, 5/8
When doing fractions, you may cross multiply.
U can multiply
To multiply fractions all you do is multiply the numerators and the denominators separately eg: 4/7 x 6/11 = 24/77. The "commonality" of denominators has no relevance.
To divide fractions, turn the second one over - that is, swap its numerator and denominator - and multiply. Nothing else is necessary. You cross multiply when you have a proportion, that is when you have two ratios that are equal.