Multiplying Mixed Numbers: 1 1/4 times 2 1/2
This article will guide you through the process of multiplying mixed numbers, specifically focusing on calculating 1 1/4 times 2 1/2.
Understanding Mixed Numbers
Mixed numbers combine a whole number and a fraction. To multiply them, we need to convert them into improper fractions first.
Converting to Improper Fractions
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1 1/4: Multiply the whole number (1) by the denominator of the fraction (4), and add the numerator (1). This gives us 5. Keep the same denominator (4). So, 1 1/4 becomes 5/4.
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2 1/2: Multiply the whole number (2) by the denominator of the fraction (2), and add the numerator (1). This gives us 5. Keep the same denominator (2). So, 2 1/2 becomes 5/2.
Multiplying Fractions
Now, we simply multiply the numerators and the denominators:
(5/4) * (5/2) = (5 * 5) / (4 * 2) = 25/8
Simplifying the Answer
The fraction 25/8 is an improper fraction (the numerator is larger than the denominator). To simplify it into a mixed number:
- Divide the numerator (25) by the denominator (8). The result is 3 with a remainder of 1.
- The quotient (3) becomes the whole number part of the mixed number.
- The remainder (1) becomes the numerator of the fraction. The denominator remains the same (8).
Therefore, 25/8 simplifies to 3 1/8.
Conclusion
So, 1 1/4 times 2 1/2 is equal to 3 1/8. By converting mixed numbers to improper fractions and multiplying them, we can easily perform this calculation.