Multiplying Mixed Numbers: 1 1/3 x 1 4/5
This article will guide you through the steps of multiplying the mixed numbers 1 1/3 and 1 4/5.
Converting Mixed Numbers to Fractions
Before we can multiply, we need to convert our mixed numbers into improper fractions. Here's how:
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1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. Keep the same denominator (3). So, 1 1/3 is equivalent to 4/3.
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1 4/5: Multiply the whole number (1) by the denominator (5) and add the numerator (4). This gives us 9. Keep the same denominator (5). So, 1 4/5 is equivalent to 9/5.
Multiplying the Fractions
Now we have 4/3 * 9/5. To multiply fractions, we simply multiply the numerators and the denominators:
- (4 * 9) / (3 * 5) = 36/15
Simplifying the Result
The fraction 36/15 can be simplified. Both the numerator and denominator are divisible by 3:
- 36/15 = (36/3) / (15/3) = 12/5
Converting Back to a Mixed Number
Finally, we can convert the improper fraction 12/5 back to a mixed number:
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Divide the numerator (12) by the denominator (5). This gives us 2 with a remainder of 2.
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The whole number is 2. The remainder (2) becomes the numerator of the fraction, and the denominator stays the same (5).
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Therefore, 12/5 is equivalent to 2 2/5.
Conclusion
Therefore, 1 1/3 x 1 4/5 = 2 2/5.