Multiplying Mixed Numbers: 1 1/4 x 2 1/4
Multiplying mixed numbers can seem daunting, but it's actually a straightforward process. Let's break down how to multiply 1 1/4 x 2 1/4 and express the answer as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/4 becomes 5/4 (Multiply the whole number by the denominator and add the numerator. Keep the same denominator.)
- 2 1/4 becomes 9/4
Step 2: Multiply the Numerators and Denominators
- (5/4) x (9/4) = (5 x 9) / (4 x 4)
Step 3: Simplify the Result
- (5 x 9) / (4 x 4) = 45/16
Step 4: Convert the Improper Fraction to a Mixed Number (Optional)
- 45/16 is equal to 2 13/16 (Divide the numerator by the denominator. The quotient is the whole number, the remainder is the new numerator, and the denominator stays the same.)
Therefore, 1 1/4 x 2 1/4 is equal to 45/16 or 2 13/16.