Calculating 1 1/3 times 1 2/5
This article will guide you through the steps of multiplying mixed numbers, specifically focusing on 1 1/3 times 1 2/5.
Understanding Mixed Numbers
Mixed numbers consist of a whole number and a fraction. To multiply mixed numbers, we need to convert them into improper fractions.
Converting to Improper Fractions
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1 1/3: To convert this, we multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. We keep the same denominator (3). Therefore, 1 1/3 becomes 4/3.
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1 2/5: Similar to the previous step, we multiply the whole number (1) by the denominator (5) and add the numerator (2), resulting in 7. Keeping the same denominator (5), 1 2/5 becomes 7/5.
Multiplying Improper Fractions
Now that we have both mixed numbers as improper fractions, we can multiply them:
(4/3) * (7/5) = (4 * 7) / (3 * 5) = 28/15
Converting Back to a Mixed Number
The result, 28/15, is an improper fraction. To convert it back to a mixed number:
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Divide the numerator (28) by the denominator (15). 28 divided by 15 equals 1 with a remainder of 13.
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The quotient (1) becomes the whole number of the mixed number.
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The remainder (13) becomes the numerator of the fraction.
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The denominator (15) stays the same.
Therefore, 28/15 is equivalent to 1 13/15.
Conclusion
Therefore, 1 1/3 times 1 2/5 equals 1 13/15. By converting the mixed numbers into improper fractions, we can easily multiply them and then convert the answer back to a mixed number.