Subtract 3/5 - 2/7 =

Rationale

Subtracting 3/5 - 2/7 results in 11/35.

To perform the subtraction of two fractions, a common denominator is required. The least common multiple of the denominators 5 and 7 is 35. Converting both fractions to this common denominator allows for straightforward subtraction, leading to the correct final answer of 11/35.

A (1/2) YOUR ANSWER

This choice results from an incorrect calculation of the fraction subtraction. To arrive at 1/2, one would need to mistakenly manipulate the fractions without properly finding a common denominator, which does not reflect the actual operation performed.

B (3/35) YOUR ANSWER

This option suggests that the result of the subtraction is considerably smaller than the actual answer. The fraction 3/35 would imply a miscalculation in both the numerator and denominator, as it does not appropriately account for the necessary adjustments made during the subtraction process.

C (-1/2) YOUR ANSWER

Choosing -1/2 indicates a misunderstanding of the operation, as subtracting a smaller fraction from a larger one cannot yield a negative result. This outcome fails to recognize the proper arithmetic involved in subtracting 2/7 from 3/5 and the need for finding a common denominator.

D (11/35) CORRECT

This is the correct answer. By converting both fractions to a common denominator of 35, we find that 3/5 becomes 21/35 and 2/7 becomes 10/35. Subtracting these gives us 21/35 - 10/35 = 11/35, accurately representing the result of the operation.

Conclusion

The correct answer to the subtraction problem 3/5 - 2/7 is 11/35, achieved by finding a common denominator and accurately performing the subtraction. The other choices illustrate common errors in fraction subtraction, highlighting the importance of following proper mathematical procedures when dealing with fractions.

Subtract 3/5 - 2/7 =

Subtracting 3/5 - 2/7 results in 11/35.

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