Multiplying Mixed Numbers: 1 1/4 x 2 1/4
This article will guide you through the steps of multiplying the mixed numbers 1 1/4 and 2 1/4.
Understanding Mixed Numbers
Mixed numbers combine a whole number and a fraction. To multiply them, we first need to convert them into improper fractions.
Converting to Improper Fractions
- 1 1/4: 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.
- 2 1/4: Multiply the whole number (2) by the denominator (4) and add the numerator (1). This gives us 9. Keep the same denominator (4). So, 2 1/4 is equivalent to 9/4.
Multiplying Improper Fractions
Now, we have the problem: (5/4) x (9/4)
To multiply fractions, we simply multiply the numerators and the denominators:
- (5 x 9) / (4 x 4) = 45/16
Converting Back to a Mixed Number
The improper fraction 45/16 can be converted back to a mixed number:
- Divide the numerator (45) by the denominator (16): 45 ÷ 16 = 2 with a remainder of 13.
- The quotient (2) becomes the whole number part of the mixed number.
- The remainder (13) becomes the numerator of the fractional part.
- The denominator (16) stays the same.
Therefore, 45/16 is equivalent to 2 13/16.
Conclusion
The product of 1 1/4 and 2 1/4 is 2 13/16.