Multiplying Fractions: Finding 1 1/3 Times 2/5
This article will guide you through the process of multiplying mixed numbers and fractions to find the product of 1 1/3 times 2/5.
Step 1: Convert the Mixed Number to an Improper Fraction
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1 1/3 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (3) and adding the numerator (1). The result is placed over the original denominator.
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(1 x 3) + 1 = 4
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1 1/3 = 4/3
Step 2: Multiply the Fractions
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Now that both numbers are in fraction form, we can multiply them. To multiply fractions, multiply the numerators and multiply the denominators.
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(4/3) x (2/5) = (4 x 2) / (3 x 5)
Step 3: Simplify the Result
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Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 1.
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(4 x 2) / (3 x 5) = 8/15
Conclusion
Therefore, 1 1/3 times 2/5 is equal to 8/15.