Determine the value of the expression –5.45 + 4.12 –8.66.
A -9.99
B 18.23
C –0.91
D –2.99
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8 months ago
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8 months ago
Evaluate 4 and 1 over 2−2−5 and 2 over 3
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8 months ago
To evaluate the expression, we must first simplify it.
One way to simplify it is to convert the mixed numbers to improper fractions.
4 and 1/2 = (4 * 2 + 1) / 2 = 9/2
5 and 2/3 = (5 * 3 + 2) / 3 = 17/3
Now the expression becomes 9/2 - 2 - 17/3.
Next, we need to find a common denominator for the fractions 9/2 and 17/3.
The least common multiple of 2 and 3 is 6. So let's convert both fractions to have a denominator of 6.
9/2 = (9 * 3) / (2 * 3) = 27/6
17/3 = (17 * 2) / (3 * 2) = 34/6
Now the expression becomes 27/6 - 2 - 34/6.
To subtract these fractions, they must have the same denominator. So we can simplify the expression further:
27/6 - 2 - 34/6 = (27 - 34) / 6 - 2 = -7/6 - 2.
Now, let's find a common denominator for -7/6 and 2, which is 6:
-7/6 - 2 = (-7 - 12) / 6 = -19/6.
So, the value of the expression 4 and 1/2 - 2 - 5 and 2/3 is -19/6.
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8 months ago
ok here are the options
-3 and 1 over 6
12 and 1 over 6
2 and 1 over 6
-4 and 1 over 6
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8 months ago
Apologies for the confusion. Let's re-evaluate the expression:
4 and 1/2 - 2 - 5 and 2/3
Converting the mixed numbers to improper fractions:
4 and 1/2 = (4 * 2 + 1) / 2 = 9/2
5 and 2/3 = (5 * 3 + 2) / 3 = 17/3
Now the expression becomes 9/2 - 2 - 17/3.
Finding a common denominator for the fractions 9/2 and 17/3 (which is 6):
9/2 = (9 * 3) / (2 * 3) = 27/6
17/3 = (17 * 2) / (3 * 2) = 34/6
Now the expression becomes 27/6 - 2 - 34/6.
To subtract these fractions, they must have the same denominator. So we can simplify the expression further:
27/6 - 2 - 34/6 = (27 - 34) / 6 - 2 = -7/6 - 2.
Now, let's perform the calculation:
-7/6 - 2 = (-7 - (2 * 6)) / 6 = -19/6.
So, the value of the expression 4 and 1/2 - 2 - 5 and 2/3 is -19/6.
Therefore, the closest option is -3 and 1/6 (option A).
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8 months ago
ok one more question
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8 months ago
Of course! Please go ahead and ask your next question. I'm here to help.
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8 months ago
Simplify.
7 and 2 over 3 + 5 and 1 over 4
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8 months ago
To simplify the expression, we must first convert the mixed numbers to improper fractions:
7 and 2/3 = (7 * 3 + 2) / 3 = 23/3
5 and 1/4 = (5 * 4 + 1) / 4 = 21/4
Now the expression becomes 23/3 + 21/4.
To add these fractions, we must first find a common denominator. The least common multiple of 3 and 4 is 12.
Converting the fractions to have a denominator of 12:
23/3 = (23 * 4) / (3 * 4) = 92/12
21/4 = (21 * 3) / (4 * 3) = 63/12
Now the expression becomes 92/12 + 63/12.
Adding the fractions together:
92/12 + 63/12 = (92 + 63) / 12 = 155/12.
So, the simplified expression for 7 and 2/3 + 5 and 1/4 is 155/12.
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8 months ago
here are the options
-2
2 and 5 over 12
1 and 11 over 12
12 and 11 over 12
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8 months ago
After simplifying the expression 7 and 2/3 + 5 and 1/4, we found that the value is 155/12.
To determine which option matches the result, we can convert the improper fraction 155/12 back to a mixed number.
Dividing 155 by 12, we get:
155 ÷ 12 = 12 with a remainder of 11.
Therefore, the mixed number is 12 and 11/12.
Thus, the correct option is 12 and 11 over 12 (C).
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8 months ago
Thank to you I have %100 thank you!!!
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8 months ago