Multiply: 2/3 x 3/5 =

Rationale

2/3 multiplied by 3/5 equals 2/5.

To multiply two fractions, you multiply the numerators together and the denominators together. Therefore, multiplying 2 (numerator of the first fraction) by 3 (numerator of the second fraction) gives 6, and multiplying 3 (denominator of the first fraction) by 5 (denominator of the second fraction) gives 15. Thus, the result is 6/15, which simplifies to 2/5.

A (3/4) YOUR ANSWER

This choice results from an incorrect multiplication or simplification. The product of 2/3 and 3/5 should yield a fraction of 6/15, which simplifies to 2/5. The fraction 3/4 does not correlate with any calculation from these two fractions.

B (1/3) YOUR ANSWER

Choosing 1/3 indicates a misunderstanding of multiplication of fractions. When multiplying, the result should come from the full multiplication of numerators and denominators, leading to 6/15 (or 2/5) rather than 1/3, which does not relate to the multiplication process.

D (11/9) YOUR ANSWER

This choice suggests a significant error in calculation. The result of multiplying 2/3 by 3/5 is not greater than 1, and 11/9 is an improper fraction that cannot arise from the multiplication of these two proper fractions. The correct result, when simplified, is 2/5.

Conclusion

When multiplying fractions, the key is to multiply the numerators and denominators accurately. The calculation of 2/3 multiplied by 3/5 clearly leads to a product of 6/15, which simplifies to 2/5. The other options presented do not accurately reflect the results from the multiplication process. Understanding this fundamental operation is crucial for proper fraction manipulation and simplification.

Multiply: 2/3 x 3/5 =

2/3 multiplied by 3/5 equals 2/5.

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