Evaluate 4 1/2 − 2 − 5 2/3
Responses
–3 1/ 6
12 1/6
2 1 /6
–4 1 /6
To evaluate 4 1/2 - 2 - 5 2/3, we first convert all the mixed numbers to improper fractions:
4 1/2 = 9/2
5 2/3 = 17/3
Now, we can substitute these values into the expression:
9/2 - 2 - 17/3
To subtract the fractions, we need a common denominator which is 6:
(9/2)(3/3) - 2(3/3) - (17/3)(2/2)
= 27/6 - 6/6 - 34/6
Now we can subtract the fractions:
27/6 - 6/6 - 34/6
= (27 - 6 - 34)/6
= -13/6
Converting back to a mixed number:
-13/6 = -2 1/6
Therefore, the answer is -2 1/6.
To evaluate the expression, 4 1/2 - 2 - 5 2/3, we need to perform the operations in the correct order.
Step 1: Simplify the mixed numbers
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 2/3 = (5 * 3 + 2) / 3 = 17/3
Step 2: Subtract the simplified numbers
9/2 - 2 - 17/3
Step 3: Find a common denominator
The common denominator for 2 and 3 is 6.
Step 4: Convert the fractions to have a denominator of 6
9/2 = (9 * 3) / (2 * 3) = 27/6
17/3 = (17 * 2) / (3 * 2) = 34/6
Step 5: Subtract the fractions
27/6 - 2 - 34/6
= (27 - 34) / 6
= -7/6
Step 6: Simplify the result
-7/6 can be written as -1 1/6
Therefore, the evaluation of 4 1/2 - 2 - 5 2/3 is -1 1/6.
To evaluate the expression 4 1/2 - 2 - 5 2/3, we need to perform the subtraction and simplification step by step. Here's how you can do it:
Step 1: Convert the mixed numbers to improper fractions.
4 1/2 = 4 + 1/2 = (4*2 + 1)/2 = 9/2
5 2/3 = 5 + 2/3 = (5*3 + 2)/3 = 17/3
So, the expression becomes: 9/2 - 2 - 17/3
Step 2: Find a common denominator to combine the fractions. The smallest common multiple of 2 and 3 is 6. Therefore, we can write:
9/2 = (9/2) * (3/3) = 27/6
17/3 = (17/3) * (2/2) = 34/6
Now the expression becomes: 27/6 - 2 - 34/6
Step 3: Perform the subtraction operation.
27/6 - 2 - 34/6 = (27 - 2 - 34)/6 = -9/6 = -3/2
Step 4: Simplify the fraction, if possible. The fraction -3/2 can be simplified to -1 1/2.
Therefore, the final answer is -1 1/2 or -3 1/6.