Evaluate 4 1/2−2−5 2/3
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
To evaluate the expression 4 1/2 - 2 - 5 2/3, follow these steps:
Step 1: Convert mixed numbers to fractions:
4 1/2 = 9/2
5 2/3 = 17/3
Step 2: Simplify the expression by subtraction:
9/2 - 2 - 17/3
Step 3: Find a common denominator for the fractions:
The least common multiple of 2 and 3 is 6.
Step 4: Rewrite the fractions with the common denominator:
(9/2 * 3/3) - (2 * 6/6) - (17/3 * 2/2)
= 27/6 - 12/6 - 34/6
Step 5: Subtract the fractions with the same denominator:
(27 - 12 - 34) / 6
Step 6: Simplify the numerator:
(-19) / 6
Therefore, 4 1/2 - 2 - 5 2/3 = -19/6.
To evaluate the expression 4 1/2 - 2 - 5 2/3, we need to follow the order of operations, which is commonly remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Simplify any fractions or mixed numbers:
4 1/2 can be rewritten as an improper fraction: 4 + 1/2 = 9/2
5 2/3 can also be rewritten as an improper fraction: 5 + 2/3 = 17/3
Now the expression becomes: 9/2 - 2 - 17/3
Step 2: Perform any addition and subtraction operations from left to right:
9/2 - 2 - 17/3 = (9/2) - (2) - (17/3)
To subtract fractions with different denominators, we will need a common denominator. In this case, the lowest common denominator (LCD) is 6:
(9/2) - (2) - (17/3) = (27/6) - (12/6) - (34/6)
Now all the fractions have the same denominator, so we can subtract them directly:
(27/6) - (12/6) - (34/6) = (27 - 12 - 34)/6 = -19/6
Therefore, the value of the expression 4 1/2 - 2 - 5 2/3 is -19/6.