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What is the value of the expression \( \left(\frac{2}{5}+\frac{2}{5}\right) \times \frac{3}{10} \) ? A. \( \frac{6}{125} \) B. \( \frac{3}{25} \) C. \( \frac{7}{50} \) D. \( \frac{6}{25} \)

Ask by Lyons Huang. in the United States
Feb 03,2025

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Answer

The value of the expression is \( \frac{6}{25} \), so the correct answer is D.

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The Deep Dive

To evaluate the expression \( \left(\frac{2}{5}+\frac{2}{5}\right) \times \frac{3}{10} \), let's first simplify the part inside the parentheses. We have: \[ \frac{2}{5} + \frac{2}{5} = \frac{4}{5} \] Now substituting this back into the expression gives: \[ \left(\frac{4}{5}\right) \times \frac{3}{10} \] Next, multiplying these fractions: \[ \frac{4 \times 3}{5 \times 10} = \frac{12}{50} \] Now we can simplify \( \frac{12}{50} \) by dividing the numerator and the denominator by 2: \[ \frac{12 \div 2}{50 \div 2} = \frac{6}{25} \] Thus, the value of the expression is: \[ \boxed{\frac{6}{25}} \]

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