Multiplying Mixed Numbers: 1 1/4 x 1 1/4
This article will guide you through multiplying mixed numbers, specifically 1 1/4 x 1 1/4. We will break down the process into simple steps.
Understanding Mixed Numbers
A mixed number combines a whole number with a fraction, like 1 1/4. To multiply mixed numbers, we need to convert them into improper fractions.
Converting to Improper Fractions
- Multiply the whole number by the denominator: 1 x 4 = 4
- Add the numerator: 4 + 1 = 5
- Keep the same denominator: 5/4
Therefore, 1 1/4 is equivalent to 5/4.
Multiplication of Fractions
Now that we have improper fractions, we can multiply them:
- Multiply the numerators: 5 x 5 = 25
- Multiply the denominators: 4 x 4 = 16
This gives us 25/16.
Simplifying the Result
The fraction 25/16 is an improper fraction because the numerator is larger than the denominator. We can simplify it into a mixed number:
- Divide the numerator by the denominator: 25 ÷ 16 = 1 with a remainder of 9
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (9) becomes the numerator of the fraction.
- Keep the same denominator (16).
Therefore, 25/16 is equivalent to 1 9/16.
Conclusion
The product of 1 1/4 x 1 1/4 in fraction form is 1 9/16. By converting mixed numbers into improper fractions and applying the rules of fraction multiplication, we can easily solve this problem.