Mathematics

Mathematics

Problem

Find the value of: (1/3)×[−3/2+7/5](1/3) \times [-3/2 + 7/5]
Intuitive explanation

You're combining fractions inside the brackets first, then multiplying by 1/31/3. The key is to find a common denominator for −3/2-3/2 and 7/57/5 so you can add them as a single fraction—then the multiplication becomes straightforward. Think of it as simplifying what's in the brackets into one clean fraction before scaling it down by a third.

Intuitive explanation

You're combining fractions inside the brackets first, then multiplying by 1/31/3. The key is to find a common denominator for −3/2-3/2 and 7/57/5 so you can add them as a single fraction—then the multiplication becomes straightforward. Think of it as simplifying what's in the brackets into one clean fraction before scaling it down by a third.

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