Question

question 3 (1 point)
evaluate the expression. give your answer in simplest form.
\\(\frac{1}{4} * \frac{2}{5} = ?\\)

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question 4 (1 point)
evaluate the expression. give your answer in simplest form.
\\(\frac{10}{21} * \frac{7}{15} = ?\\)

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Explanation:

Multiply the numerators and denominators for Question 3

$$ \frac{1}{4} \times \frac{2}{5} = \frac{1 \times 2}{4 \times 5} = \frac{2}{20} $$

Simplify the resulting fraction for Question 3

$$ \frac{2}{20} = \frac{2 \div 2}{20 \div 2} = \frac{1}{10} $$

Multiply and simplify by cross-canceling for Question 4

$$ \frac{10}{21} \times \frac{7}{15} = \frac{10}{15} \times \frac{7}{21} = \frac{2}{3} \times \frac{1}{3} = \frac{2 \times 1}{3 \times 3} = \frac{2}{9} $$

Answer:

Question 3

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Question 4

Note: The correct simplified answer is \(\frac{2}{9}\).