Multiplying Mixed Numbers: 1 1/4 x 2 3/4
Multiplying mixed numbers can seem intimidating, but it's just a matter of breaking them down into fractions and then multiplying. Here's how to solve 1 1/4 x 2 3/4:
1. Convert mixed numbers to improper fractions:
- 1 1/4: Multiply the whole number (1) by the denominator (4) and add the numerator (1). Keep the same denominator. This gives us 5/4.
- 2 3/4: Multiply the whole number (2) by the denominator (4) and add the numerator (3). Keep the same denominator. This gives us 11/4.
2. Multiply the fractions:
- (5/4) * (11/4) = (5 * 11) / (4 * 4) = 55/16
3. Simplify the answer (if possible):
- The fraction 55/16 is an improper fraction (numerator is greater than denominator). We can convert it to a mixed number:
- 55 divided by 16 equals 3 with a remainder of 7.
- This translates to 3 7/16.
Therefore, 1 1/4 x 2 3/4 is equal to 3 7/16.