Multiply Mixed Numbers: 1⅘ × 1⅓ Step-by-Step Solution

To solve this problem, we'll convert the mixed numbers into improper fractions, multiply them, and simplify the result:

• Step 1: Convert mixed numbers to improper fractions.
  • $1\frac{4}{5}$ becomes $\frac{1 \times 5 + 4}{5} = \frac{9}{5}$.
  • $1\frac{1}{3}$ becomes $\frac{1 \times 3 + 1}{3} = \frac{4}{3}$.
• Step 2: Multiply the improper fractions.
  • $\frac{9}{5} \times \frac{4}{3} = \frac{9 \times 4}{5 \times 3} = \frac{36}{15}$.
• Step 3: Simplify the fraction $\frac{36}{15}$.
  • The greatest common divisor of 36 and 15 is 3.
  • $\frac{36 \div 3}{15 \div 3} = \frac{12}{5}$.
• Step 4: Convert the improper fraction $\frac{12}{5}$ back to a mixed number.
  • $12 \div 5$ is 2 with a remainder of 2.
  • The mixed number is $2\frac{2}{5}$.

Therefore, the product of $1\frac{4}{5} \times 1\frac{1}{3}$ is $2\frac{2}{5}$.