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Multiply. $2\frac{1}{3} \times \frac{2}{5}$

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Divide mixed numbers

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Q. Multiply.

2\frac{1}{3} \times \frac{2}{5}

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ To convert $2 \frac{1}{3}$ to an improper fraction, multiply the whole number by the denominator and add the numerator. This gives us $(2 \times 3) + 1 = 7$ . So, $2 \frac{1}{3}$ becomes $\frac{7}{3}$ .
Multiply Fractions: Multiply the improper fraction by the other fraction. $\newline$ Now we multiply $\frac{7}{3}$ by $\frac{2}{5}$ . To multiply fractions, we multiply the numerators together and the denominators together. $\newline$ So, $(7 \times 2) = 14$ for the numerator and $(3 \times 5) = 15$ for the denominator.
Simplify Fraction: Simplify the fraction if possible. $\newline$ The fraction $\frac{14}{15}$ cannot be simplified further because $14$ and $15$ have no common factors other than $1$ .

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