Multiplying Mixed Numbers: 1 1/2 x 3 3/4
Multiplying mixed numbers can seem tricky, but it's actually quite straightforward. Here's how to multiply 1 1/2 x 3 3/4 and express the answer as a fraction:
1. Convert Mixed Numbers to Improper Fractions:
- 1 1/2: (1 x 2) + 1 = 3. Keep the denominator, so 1 1/2 becomes 3/2.
- 3 3/4: (3 x 4) + 3 = 15. Keep the denominator, so 3 3/4 becomes 15/4.
2. Multiply the Numerators and Denominators:
- (3/2) x (15/4) = (3 x 15) / (2 x 4) = 45/8
3. Simplify the Resulting Fraction:
- The fraction 45/8 is already in its simplest form.
Therefore, 1 1/2 x 3 3/4 is equal to 45/8.