Evaluate the numerical expression.
1/2
− (−3/4
)
Responses
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.
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
The numerical expression 1/2 - (-3/4) evaluates to 5/4 or 1.25. Therefore, the correct answer is D. 5/4.
Simplify.
7 2/3+−5 1/4
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.
To evaluate the numerical expression, we will first simplify the expression inside the parentheses:
−(−3/4) = 3/4
Now, we can rewrite the original expression as:
1/2 - 3/4
To subtract these fractions, we need to find a common denominator:
4 is the least common multiple of 2 and 4, so we can write both fractions with a denominator of 4:
1/2 - 3/4 = 2/4 - 3/4
Now we can subtract the numerators:
2/4 - 3/4 = (2 - 3)/4
Simplifying further:
(2 - 3)/4 = -1/4
Therefore, the numerical expression evaluates to -1/4.
To evaluate the numerical expression 1/2 - (-3/4), we can follow these steps:
Step 1: Simplify the expression inside the brackets first.
-3/4 is the same as -3 ÷ 4, which equals -0.75.
Step 2: Apply the subtraction operation.
1/2 - (-0.75) can be rewritten as 1/2 + 0.75.
Step 3: Find a common denominator.
To add fractions, we need to find a common denominator. The common denominator of 2 and 4 is 4.
Step 4: Convert the fractions to have the same denominator.
1/2 can be multiplied by 2/2 to have a denominator of 4, resulting in 2/4.
0.75 can be rewritten as 0.75/1.
Step 5: Add the fractions.
2/4 + 0.75/1 can be added as (2 + 0.75)/4.
Step 6: Add the numerators.
2 + 0.75 equals 2.75, so the expression becomes 2.75/4.
Step 7: Simplify the fraction if needed.
The fraction 2.75/4 is already in its simplest form.
Therefore, the numerical expression 1/2 - (-3/4) evaluates to 2.75/4.