## Finding 1 3/4 Times 4 1/6 as a Fraction

This problem involves multiplying mixed numbers. To solve this, we'll convert the mixed numbers into improper fractions, then multiply and simplify. Here's how:

**1. Convert the Mixed Numbers to Improper Fractions**

**1 3/4:**Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. (1 * 4) + 3 = 7. So, 1 3/4 becomes**7/4**.**4 1/6:**Multiply the whole number (4) by the denominator (6) and add the numerator (1). Keep the same denominator. (4 * 6) + 1 = 25. So, 4 1/6 becomes**25/6**.

**2. Multiply the Improper Fractions**

Now we have: (7/4) * (25/6)

To multiply fractions, we multiply the numerators and the denominators:

(7 * 25) / (4 * 6) = 175/24

**3. Simplify the Result (If Possible)**

The fraction 175/24 is already in its simplest form because 175 and 24 have no common factors other than 1.

**Therefore, 1 3/4 times 4 1/6 is equal to 175/24.**