What is 1 3/4 times 2 1/2?
In this article, we'll walk through how to solve the problem of multiplying mixed numbers, specifically 1 3/4 times 2 1/2.
Understanding Mixed Numbers
First, let's understand mixed numbers. A mixed number combines a whole number and a fraction. For example, 1 3/4 means one whole and threequarters.
Converting Mixed Numbers to Improper Fractions
To multiply mixed numbers, it's easier to convert them into improper fractions. Here's how:

Multiply the whole number by the denominator of the fraction.
 For 1 3/4: 1 x 4 = 4

Add the numerator of the fraction to the result.
 4 + 3 = 7

Keep the same denominator.
 The improper fraction for 1 3/4 is 7/4

Repeat steps 13 for the other mixed number.
 For 2 1/2: 2 x 2 = 4
 4 + 1 = 5
 The improper fraction for 2 1/2 is 5/2
Multiplying Improper Fractions
Now we have the problem: 7/4 times 5/2. To multiply fractions:
 Multiply the numerators (the top numbers).
 7 x 5 = 35
 Multiply the denominators (the bottom numbers).
 4 x 2 = 8
 The answer is the product of the numerators over the product of the denominators.
 7/4 times 5/2 = 35/8
Converting Back to a Mixed Number (Optional)
The answer, 35/8, is an improper fraction. If you want to express it as a mixed number:
 Divide the numerator (35) by the denominator (8).
 35 divided by 8 equals 4 with a remainder of 3.
 The whole number of the mixed number is the quotient (4).
 The fraction part of the mixed number is the remainder (3) over the original denominator (8).
Therefore, 35/8 is equivalent to 4 3/8.
Conclusion
So, 1 3/4 times 2 1/2 is equal to 35/8, or 4 3/8 when expressed as a mixed number.