Find the product. $$ \frac{2}{5}\left(-3 \frac{1}{3}\right) $$ $$ \frac{2}{5}\left(-3 \frac{1}{3}\right)=\square $$ (Type an integer or a simplified fraction.)

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UpStudy AI · Accepted Answer

1. Convert the mixed number to an improper fraction:
   $$
   -3\frac{1}{3} = -\frac{3 \times 3 + 1}{3} = -\frac{10}{3}
   $$

2. Multiply the fractions:
   $$
   \frac{2}{5} \times \left(-\frac{10}{3}\right) = -\frac{2 \times 10}{5 \times 3} = -\frac{20}{15}
   $$

3. Simplify the fraction by dividing the numerator and denominator by 5:
   $$
   -\frac{20 \div 5}{15 \div 5} = -\frac{4}{3}
   $$

Thus, the product is:
$$
\frac{2}{5}\left(-3 \frac{1}{3}\right) = -\frac{4}{3}
$$
The product is $$ -\frac{4}{3} $$.

Find the product. \( \frac{2}{5}\left(-3 \frac{1}{3}\right) \) \( \frac{2}{5}\left(-3 \frac{1}{3}\right)=\square \) (Type an integer or a simplified fraction.)

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