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

9 answers

To evaluate the expression 4 1/2 - 2 - 5 2/3, we need to convert all the mixed numbers to improper fractions.

4 1/2 = 9/2
5 2/3 = 17/3

Now we can subtract:

9/2 - 2 - 17/3

To simplify this expression, we need a common denominator. The least common multiple of 2 and 3 is 6.

Converting all fractions to have a denominator of 6:

(9/2)*(3/3) - (2)*(3/3) - (17/3)*(2/2)
27/6 - 6/6 - 34/6

Now subtract the fractions:

27/6 - 6/6 - 34/6 = (27 - 6 - 34)/6 = -13/6

The final answer is -13/6, which can also be written as -2 1/6.

So the correct answer is C) -2 1/6.
Evaluate this expression.

32 + (−72.1)
To evaluate the expression 32 + (-72.1), simply add the two numbers together.

32 + (-72.1) = -40.1

Therefore, the answer is -40.1.
Evaluate this expression.

42.86 − 23.42
To evaluate the expression 42.86 - 23.42, simply subtract the two numbers.

42.86 - 23.42 = 19.44

Therefore, the answer is 19.44.
Determine the value of the expression –5.45 + 4.12 –8.66.
Responses
To determine the value of the expression –5.45 + 4.12 – 8.66, we need to add the three numbers together.

–5.45 + 4.12 – 8.66 = -5.45 + 4.12 - 8.66.

To add these numbers, combine the like terms:

-5.45 + 4.12 - 8.66 = (-5.45 + 4.12) - 8.66 = -1.33 - 8.66.

Now subtract:

-1.33 - 8.66 = -9.99.

Therefore, the value of the expression –5.45 + 4.12 – 8.66 is -9.99.
7 2/3+−5 1/4
To add the mixed numbers 7 2/3 and -5 1/4, we first need to convert them 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 fractions with different denominators, we need a common denominator. The least common multiple of 3 and 4 is 12.

Converting all fractions to have a denominator of 12:

(23/3)*(4/4) + (-19/4)*(3/3)
92/12 + (-57/12)

Now add the fractions:

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

The final answer is 35/12, which cannot be simplified any further.