Question

Which expression does NOT equal 10 over 12?

A) 5/6
B) 2/3
C) 3/4
D) 1/2

Answer 1

The expression that does NOT equal 10 over 12 is 1/2. Thus the correct option is D. 1/2.

Step-by-step explanation:

In order to determine which expression does not equal 10 over 12, let's evaluate each option.

A)
`\( (5)/(6) \)` is equivalent to
`\( (10)/(12) \)` since both the numerator and denominator can be multiplied by 2.

B)
`\( (2)/(3) \)` is also equivalent to
`\( (10)/(12) \)` when the numerator is multiplied by 5 and the denominator by 4.

C)
`\( (3)/(4) \)` is the same as
`\( (9)/(12) \),` which is not equal to
`\( (10)/(12) \).`

D)
`\( (1)/(2) \)` is different from
`\( (10)/(12) \)` as the numerator 1 cannot be made equal to 10 by any multiplication factor.

Therefore, the correct answer is
`\( \boxed{\text{D) } (1)/(2)} \).`

In conclusion, the expression
`\( (1)/(2) \)` is the only one among the given options that does not equal
`\( (10)/(12) \)`. Understanding the relationship between fractions and their equivalent forms is crucial in solving such problems. In this case, it's clear that
`\( (1)/(2) \)` does not match
`\( (10)/(12) \),` making it the correct answer.

Thus the correct option is D. 1/2.