Evaluate 4 1/2−2−5 2/3 Responses A –3 1/6 B 12 1/6 C 2 1/6 D –4 1/6
To evaluate 4 1/2 - 2 - 5 2/3, we need to simplify each term separately and then combine them.
First, let's simplify 4 1/2. To do this, we need to convert the mixed number 4 1/2 into an improper fraction.
4 1/2 = (4 * 2 + 1) / 2 = 9/2
Now, let's simplify 5 2/3.
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Finally, let's simplify the expression 4 1/2 - 2 - 5 2/3 by substituting the simplified values into the expression.
9/2 - 2 - 17/3
To subtract the fractions, we need to find a common denominator, which in this case is 6.
9/2 = (9/2) * (3/3) = 27/6
17/3 = (17/3) * (2/2) = 34/6
Now, let's substitute these new fractions back into the expression:
27/6 - 12/6 - 34/6
Combining the fractions, we get:
(27 - 12 - 34) / 6 = -19/6
Therefore, the answer is -19/6, which can also be written as -3 1/6.
The correct response is A) -3 1/6.
Evaluate this expression.
32 + (−72.1)
To evaluate the expression 32 + (-72.1), we simply add the two numbers together.
32 + (-72.1) = -40.1
Therefore, the answer is -40.1.
Simplify.
7.829 − 3.21
Responses
A 3.1273.127
B 4.2094.209
C 4.6194.619
D 11.039
To simplify 7.829 - 3.21, we subtract the two numbers.
7.829 - 3.21 = 4.619
Therefore, the correct response is C) 4.619.
Evaluate the numerical expression.
1/2 − (−3/4)
Responses
A 1/3
B 1/4
C 3/2
D 5/4
E 7/4
To evaluate the expression 1/2 - (-3/4), we need to simplify each term separately and then subtract them.
To subtract fractions, we need to find a common denominator, which in this case is 4.
1/2 = 2/4
Now, let's simplify the expression:
2/4 - (-3/4)
To subtract fractions, we change the subtraction to addition and keep the second fraction the same while changing the sign:
2/4 + 3/4
Adding the fractions, we get:
(2+3)/4 = 5/4
Therefore, the answer is option D) 5/4.
You are asked to find the sum by using fractions. Which expression could you use?
Responses
A 1/4− 1/2 + 1/2− 1/4+ 3/5+ 2/5
B 1/4− 1/4 + 1/2 − 1/4+ 3/5 + 2/5
C 1/4 − 1/2 + 1/2 − 1/4 + 4/5 + 2/5
D − 1/2 − 1/2 − 1/4 + 3/5 + 2/5
To find the sum using fractions, we need to identify an expression with terms that can be added together.
Looking at the options:
A) 1/4 - 1/2 + 1/2 - 1/4 + 3/5 + 2/5
B) 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5
C) 1/4 - 1/2 + 1/2 - 1/4 + 4/5 + 2/5
D) -1/2 - 1/2 - 1/4 + 3/5 + 2/5
Option B contains terms that can be added together:
1/4 + 1/2 - 1/4 + 3/5 + 2/5
Therefore, the expression we could use to find the sum using fractions is option B) 1/4 - 1/4 + 1/2 - 1/4 + 3/5 + 2/5.
Find the sum.
Responses
A 0
B 1
C 1 1/2
D 1/2