Simplify negative 4 and 1 over 4 − negative 9 and 1 over 2
(5 points)
Group of answer choices
5 and 1 over 4
negative 13 and 1 over 3
13 and 1 over 3
negative 5 and 1 over 4
To simplify the expression, we need to find the difference between negative 4 and 1/4 and negative 9 and 1/2.
Negative 4 and 1/4 can be written as -4 1/4.
Negative 9 and 1/2 can be written as -9 1/2.
To find the difference between these two numbers, we subtract them:
(-4 1/4) - (-9 1/2) = -4 1/4 + 9 1/2
To add these fractions, we need to find a common denominator. The least common denominator for 4 and 2 is 4. We can rewrite the fractions with this denominator:
(-4 1/4) = -4 1/4 * 2/2 = -9/4
(9 1/2) = 9 1/2 * 4/4 = 19/2
Now we can add the fractions:
-9/4 + 19/2
To add these fractions, we need to find a common denominator. The least common denominator for 4 and 2 is 4. We can rewrite the fractions with this denominator:
(-9/4) = -9/4 * 2/2 = -18/8
(19/2) = 19/2 * 4/4 = 76/8
Now we can add the fractions:
-18/8 + 76/8 = 58/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:
58/8 = 29/4
So, -4 1/4 - (-9 1/2) simplifies to -29/4.
Therefore, the answer is negative 29 over 4, which corresponds to "negative 7 and 1/4" from the options given.
To simplify the expression, we need to perform the subtraction:
Negative 4 and 1/4 minus negative 9 and 1/2
First, we can simplify the negative signs:
Negative 4 and 1/4 plus 9 and 1/2
Next, let's add the whole numbers and fractions separately:
-4 + 9 = 5
1/4 + 1/2 = (1/4) * 2/(2/2) + (1/2) * 4/(4/4)
= 2/8 + 4/8
= 6/8
= 3/4
Combining the whole numbers and fractions, we get:
5 and 3/4
Therefore, the correct answer is: 5 and 3/4.
To simplify the expression, we need to perform subtraction.
The given expression is: -4 and 1/4 - (-9 and 1/2).
To subtract two mixed numbers, we first convert them into improper fractions.
-4 and 1/4 can be written as -17/4. (To understand how to convert a mixed number to an improper fraction, we multiply the whole number part by the denominator of the fraction and then add the numerator.)
-9 and 1/2 can be written as -19/2.
Now, we have: -17/4 - (-19/2).
To subtract these fractions, we need to find a common denominator. The least common denominator (LCD) of 4 and 2 is 4.
Now, we rewrite the fractions with the common denominator:
-17/4 - (-19/2) = -17/4 + 19/4.
Since the denominators are the same, we can add the numerators directly:
-17/4 + 19/4 = 2/4.
Next, we simplify the fraction: 2/4.
We can divide both the numerator and denominator by their greatest common divisor, which is 2:
2/4 = 1/2.
So, the simplified expression is 1/2.
Therefore, the correct answer is "1 and 1/2".