Evaluate: 4 1/2 - 2 - 5 2/3=
To evaluate this expression, we need to simplify each of the fractions and then subtract the numbers.
First, let's simplify the mixed fraction 4 1/2. To do this, we multiply the whole number, 4, by the denominator, 2, which gives us 8. Then, add the numerator, 1, to get 9. Rewrite this as a fraction with the same denominator: 9/2.
Next, let's simplify the mixed fraction 5 2/3. Following a similar process, we multiply the whole number, 5, by the denominator, 3, which gives us 15. Then, add the numerator, 2, to get 17. Rewrite this as a fraction with the same denominator: 17/3.
Now we can subtract these two fractions:
9/2 - 17/3.
To be able to subtract these fractions, we need to find a common denominator. The common denominator of 2 and 3 is 6.
Multiplying the numerator and denominator of the first fraction by 3 and the numerator and denominator of the second fraction by 2, we get:
(9/2) x (3/3) - (17/3) x (2/2)
27/6 - 34/6
Now, we can subtract the fractions:
27/6 - 34/6 = (27 - 34)/6 = -7/6
Thus, the evaluation is -7/6.
Evaluate: 4 1/2 - 2 - 5 2/3=
A -3 1/6
B 12 1/6
C 2 1/6
Or D -4 1/6
To evaluate this expression, we need to simplify each of the fractions and then subtract the numbers.
First, let's simplify the mixed fraction 4 1/2. To do this, we multiply the whole number, 4, by the denominator, 2, which gives us 8. Then, add the numerator, 1, to get 9. Rewrite this as a fraction with the same denominator: 9/2.
Next, let's simplify the mixed fraction 5 2/3. Following a similar process, we multiply the whole number, 5, by the denominator, 3, which gives us 15. Then, add the numerator, 2, to get 17. Rewrite this as a fraction with the same denominator: 17/3.
Now we can subtract these two fractions:
9/2 - 17/3.
To be able to subtract these fractions, we need to find a common denominator. The common denominator of 2 and 3 is 6.
Multiplying the numerator and denominator of the first fraction by 3 and the numerator and denominator of the second fraction by 2, we get:
(9/2) x (3/3) - (17/3) x (2/2)
27/6 - 34/6
Now, we can subtract the fractions:
27/6 - 34/6 = (27 - 34)/6 = -7/6
Thus, the evaluation is -7/6, which is equivalent to -1 1/6.
Therefore, the correct option is D) -4 1/6.
WRONG TRY AGAIN
Apologies for the error in my previous response. Let's evaluate the expression correctly:
To subtract mixed fractions, we first need to convert them into improper fractions.
4 1/2 can be written as (4 * 2 + 1) / 2 = 9/2
Similarly, 5 2/3 can be written as (5 * 3 + 2) / 3 = 17/3
Now, we can calculate the expression:
9/2 - 2 - 17/3
To subtract these fractions, we need to find a common denominator. The common denominator of 2 and 3 is 6.
Multiplying the numerator and denominator of 9/2 by 3 and the numerator and denominator of 17/3 by 2, we get:
(9/2) x (3/3) - 2 x (3/3) - (17/3) x (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
Therefore, the correct answer is -13/6, which can be simplified to -2 1/6.
So, the correct option is A) -3 1/6.
7.829 − 3.21
To subtract decimal numbers, align the decimal points and then subtract the numbers as you would with whole numbers.
In this case, we have:
7.829
- 3.21
_________
Aligning the decimal points, we have:
7.829
- 3.210
_________
Now, subtract the numbers as you would with whole numbers:
7.829
- 3.210
_________
4.619
Therefore, 7.829 - 3.21 = 4.619.
Evaluate this expression.
75.5 − 32.55
To evaluate the expression 75.5 - 32.55, subtract the numbers as you would with whole numbers after aligning the decimal points.
75.50
- 32.55
_________
42.95
Therefore, 75.5 - 32.55 = 42.95.
To evaluate the expression 4 1/2 - 2 - 5 2/3, we can follow these steps:
Step 1: Convert any mixed numbers to improper fractions.
The mixed numbers in the expression are 4 1/2 and 5 2/3. To convert these to improper fractions, we multiply the whole number by the denominator and add the numerator. Then we put the result over the original denominator.
4 1/2 = (4 × 2 + 1) / 2 = 9/2
5 2/3 = (5 × 3 + 2) / 3 = 17/3
So the expression becomes: 9/2 - 2 - 17/3
Step 2: Find the least common denominator (LCD).
To simplify fractions, we need to find the least common denominator (LCD) of the fractions involved. In this case, the denominators are 2 and 3. The least common multiple (LCM) of 2 and 3 is 6. Therefore, the LCD is 6.
Step 3: Rewrite the fractions with a common denominator.
To add or subtract fractions, they need to have the same denominator. In this case, we need to rewrite 9/2 and 17/3 with a common denominator of 6.
9/2 can be rewritten as (9/2) × (3/3) = 27/6
17/3 can be rewritten as (17/3) × (2/2) = 34/6
Now the expression becomes: 27/6 - 2 - 34/6
Step 4: Perform the subtraction.
Subtract the two fractions with the common denominator:
27/6 - 34/6 = (27 - 34) / 6 = -7/6
Step 5: Simplify the result, if possible.
In this case, the result -7/6 cannot be simplified further, so the evaluation of the expression is -7/6.
Therefore, the value of the expression 4 1/2 - 2 - 5 2/3 is -7/6.