Problem
Multiply the fractions: 2/3 × 4/5
📝Step-by-Step Solution
1
Understand the rule
Unlike addition, multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together.
a/b × c/d = (a×c)/(b×d)
2
Multiply the numerators
Multiply the top numbers: 2 × 4 = 8
Numerator: 2 × 4 = 8
3
Multiply the denominators
Multiply the bottom numbers: 3 × 5 = 15
Denominator: 3 × 5 = 15
4
Write the result
Combine to get the answer: 8/15
2/3 × 4/5 = 8/15
5
Simplify if needed
Check if 8 and 15 have common factors. They don't (8 = 2³, 15 = 3×5), so 8/15 is already simplified.
✅Final Answer
8/15
Multiplying fractions is easier than adding! No common denominator needed. Just multiply straight across: tops × tops and bottoms × bottoms. Pro tip: You can simplify before multiplying by canceling common factors diagonally.
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