Question

Evaluate the numerical expression.

1/2
− (−3/4
)
Responses

Answer 1

Evaluate the numerical expression.

1/2
− (−3/4
)
Responses
A 1/3
1/ 3
B 1/4
1/ 4
C 3/2
3 /2
D 5/4
5/ 4
E 7/4

Answer 2

Simplify.​​​​​​​

7 2/3+−5 1/4

Answer 3

The expression can be simplified as follows:

1/2 - (-3/4) = 1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1.25

Therefore, the numerical expression evaluates to 1.25.

Answer 4

The numerical expression 1/2 - (-3/4) evaluates to 5/4 or 1.25. Therefore, the correct answer is D. 5/4.

Answer 5

To simplify 7 2/3 + (-5 1/4), we first need to convert the mixed numbers to improper fractions.

7 2/3 = (7*3 + 2)/3 = 23/3

-5 1/4 = (-5*4 + 1)/4 = -19/4

Now, we can add the fractions:

23/3 + (-19/4)

To add these fractions, we need a common denominator. The least common multiple of 3 and 4 is 12.

Multiplying the first fraction by 4/4 and the second fraction by 3/3, we get:

(23/3) * (4/4) + (-19/4) * (3/3)

92/12 + (-57/12)

Now that the fractions have the same denominator, we can add them:

92/12 + (-57/12) = (92 - 57)/12 = 35/12

The simplified expression is 35/12.