Evaluate 4 1/2−2−5 2/3

5 answers

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

4 1/2 can be written as (4 × 2 + 1) / 2 = 9/2

5 2/3 can be written as (5 × 3 + 2) / 3 = 17/3

Now the expression becomes:

9/2 - 2 - 17/3

To perform the subtraction, we need to have common denominators.

The least common multiple (LCM) of 2 and 3 is 6.

So we convert the fractions to have a denominator of 6:

(9/2) × (3/3) = 27/6

2 × (3/3) = 6/3

(17/3) × (2/2) = 34/6

Now our expression is:

27/6 - 6/3 - 34/6

To subtract these fractions, we combine the numerators and keep the denominator the same:

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

Therefore, 4 1/2 - 2 - 5 2/3 is equal to -13/6.
thats not correct
Apologies for the mistake. Let's re-evaluate the expression correctly.

To subtract mixed numbers and fractions, it is easier to convert everything into improper fractions.

4 1/2 can be written as (4 × 2 + 1) / 2 = 9/2

5 2/3 can be written as (5 × 3 + 2) / 3 = 17/3

Now the expression becomes:

9/2 - 2 - 17/3

To perform the subtraction, we need to have common denominators.

Since 2 and 3 have a common multiple of 6, we can convert the fractions to have a denominator of 6:

(9/2) × (3/3) = 27/6

2 = 2/1, which is equivalent to 12/6.

(17/3) × (2/2) = 34/6

Now our expression is:

27/6 - 12/6 - 34/6

To subtract these fractions, we combine the numerators and keep the denominator the same:

(27 - 12 - 34)/6 = (27 - 46)/6 = -19/6

Therefore, 4 1/2 - 2 - 5 2/3 is equal to -19/6.
bro stop bringing me back to this question bot is wrong
Evaluate 4 1/2−2−5 2/3