Multiplying Mixed Numbers: 1 1/2 x 3 1/4
This article will guide you through the process of multiplying the mixed numbers 1 1/2 and 3 1/4.
Converting Mixed Numbers to Fractions
Before multiplying, we need to convert the mixed numbers into fractions. Here's how:
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1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 is equivalent to 3/2.
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3 1/4: 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.
Multiplying the Fractions
Now that we have proper fractions, we can multiply them:
(3/2) x (13/4) = (3 x 13) / (2 x 4) = 39/8
Simplifying the Result
The fraction 39/8 is an improper fraction (the numerator is larger than the denominator). We can simplify this into a mixed number:
- 39 divided by 8 is 4 with a remainder of 7.
- Therefore, 39/8 is equivalent to 4 7/8.
Conclusion
Therefore, 1 1/2 multiplied by 3 1/4 equals 4 7/8.