Multiplying Mixed Numbers: 1 1/4 x 3 1/4
This article will walk you through the steps of multiplying the mixed numbers 1 1/4 and 3 1/4.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/4: To convert this mixed number, multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us 5. Keep the same denominator (4). So, 1 1/4 is equivalent to 5/4.
- 3 1/4: Follow the same process. Multiply the whole number (3) by the denominator (4) and add the numerator (1). This gives us 13. Keep the same denominator (4). So, 3 1/4 is equivalent to 13/4.
Step 2: Multiply the Fractions
Now, we have the problem: (5/4) x (13/4)
To multiply fractions, simply multiply the numerators and the denominators:
- Numerator: 5 x 13 = 65
- Denominator: 4 x 4 = 16
This gives us the result: 65/16
Step 3: Simplify the Fraction (if possible)
The fraction 65/16 is an improper fraction because the numerator is greater than the denominator. We can simplify this into a mixed number.
- Divide the numerator (65) by the denominator (16): 65 ÷ 16 = 4 with a remainder of 1.
- The quotient (4) becomes the whole number in the mixed number.
- The remainder (1) becomes the numerator of the fraction.
- The denominator (16) stays the same.
Therefore, 65/16 is equivalent to 4 1/16.
Conclusion
The product of 1 1/4 and 3 1/4 is 4 1/16.