Multiplying Mixed Numbers: 1 3/4 x 2 1/2
This article will guide you through multiplying the mixed numbers 1 3/4 and 2 1/2 and expressing the answer in fraction form.
Converting Mixed Numbers to Improper Fractions
The first step is to convert the mixed numbers into improper fractions.

1 3/4: Multiply the whole number (1) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us (1 * 4) + 3 = 7, so the improper fraction is 7/4.

2 1/2: Multiply the whole number (2) by the denominator (2) and add the numerator (1). Keep the same denominator. This gives us (2 * 2) + 1 = 5, so the improper fraction is 5/2.
Multiplying Fractions
Now, we multiply the two improper fractions:
(7/4) * (5/2)
To multiply fractions, we multiply the numerators and the denominators:
(7 * 5) / (4 * 2)
This simplifies to 35/8.
Converting Back to a Mixed Number
Finally, we convert the improper fraction back to a mixed number.
Divide the numerator (35) by the denominator (8): 35 ÷ 8 = 4 with a remainder of 3.
This means the answer is 4 3/8.
Conclusion
Therefore, 1 3/4 times 2 1/2 equals 4 3/8. Remember to always convert mixed numbers to improper fractions before multiplying, and then convert the result back to a mixed number if necessary.