Solve Mixed Number Multiplication: 1¼ × 1⅞

To solve this problem, we'll follow these steps:

• Step 1: Convert each mixed number to an improper fraction.
• Step 2: Multiply the improper fractions.
• Step 3: Convert the result back to a mixed number.

Now, let's work through each step:

Step 1: Convert each mixed number to an improper fraction.
For $1\frac{1}{4}$:
- Whole number is 1, denominator is 4, and numerator is 1.
- Convert to improper fraction: $1\frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4}$.

For $1\frac{6}{8}$:
- Whole number is 1, denominator is 8, and numerator is 6.
- Convert to improper fraction: $1\frac{6}{8} = \frac{8 \times 1 + 6}{8} = \frac{14}{8}$.
- Simplify $\frac{14}{8}$ to $\frac{7}{4}$ by dividing both the numerator and the denominator by 2.

Step 2: Multiply the improper fractions:
$\frac{5}{4} \times \frac{7}{4} = \frac{5 \times 7}{4 \times 4} = \frac{35}{16}$.

Step 3: Convert the improper fraction back to a mixed number:
Divide 35 by 16. This gives 2 as the quotient with a remainder of 3.
Thus, $\frac{35}{16} = 2\frac{3}{16}$.

Therefore, the product of $1\frac{1}{4} \times 1\frac{6}{8}$ is $2\frac{3}{16}$.