Solve Mixed Number Multiplication: 2⅚ × 1¼

To solve the problem of multiplying the mixed numbers $2\frac{5}{6}$ and $1\frac{1}{4}$, we will follow these steps:

• Step 1: Convert mixed numbers to improper fractions.

For $2\frac{5}{6}$:
Multiply the whole number 2 by the denominator 6, resulting in 12. Add the numerator 5 to get 17.
Thus, $2\frac{5}{6} = \frac{17}{6}$.

For $1\frac{1}{4}$:
Multiply the whole number 1 by the denominator 4, resulting in 4. Add the numerator 1 to get 5.
Thus, $1\frac{1}{4} = \frac{5}{4}$.

• Step 2: Multiply the improper fractions.

Multiply $\frac{17}{6}$ by $\frac{5}{4}$:
The result is $\frac{17 \times 5}{6 \times 4} = \frac{85}{24}$.

• Step 3: Convert the result back to a mixed number.

To convert $\frac{85}{24}$ to a mixed number, divide 85 by 24:
85 divided by 24 is 3, with a remainder of 13.
Hence, $\frac{85}{24} = 3\frac{13}{24}$.

Therefore, the product of the mixed numbers $2\frac{5}{6}$ and $1\frac{1}{4}$ is $3\frac{13}{24}$.