Question 12

11/35

To solve the expression 3/5 - 2/7, we first find a common denominator, which is 35. Converting the fractions, we get 21/35 - 10/35, resulting in 11/35.

A) 1/2

This option is incorrect because 1/2 is equivalent to 17.5/35 when converted to a common denominator. The result of the subtraction does not equal this value.

B) 3/35

This option is also incorrect. The value 3/35 does not represent the result of subtracting the two fractions. Instead, it is significantly less than the correct answer.

C) -1/2

This choice is incorrect as well since -1/2, or -17.5/35, does not correspond to the outcome of the subtraction. The result is positive, indicating that this option is not viable.

D) 11/35

This is the correct answer. After finding a common denominator and performing the subtraction, we confirm that 21/35 - 10/35 equals 11/35.

Conclusion

The correct answer is 11/35, as it accurately represents the result of the subtraction of 3/5 and 2/7. All other options fail to match the calculated outcome, either by being incorrect values or by not reflecting the proper arithmetic operation.