What is −6 7/12 − 4 1/3?(1 point)
To subtract these mixed numbers, we need to convert them to improper fractions.
-6 7/12 as an improper fraction is (-6 * 12 + 7)/12 = (-72 + 7)/12 = -65/12
-4 1/3 as an improper fraction is (-4 * 3 + 1)/3 = (-12 + 1)/3 = -11/3
Now, we can subtract the fractions:
-65/12 - 11/3
To find the common denominator, we need to find the smallest number that both 12 and 3 can divide evenly into. In this case, it is 12.
Multiplying the numerator and denominator of -11/3 by 4 gives us -44/12.
Now, the subtraction becomes:
-65/12 - 44/12 = (-65 - 44)/12 = -109/12
Therefore, -6 7/12 - 4 1/3 is equal to -109/12.
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Apologies for the confusion. Let's try again.
To subtract these mixed numbers, we need to convert them to improper fractions.
-6 7/12 as an improper fraction is (-6 * 12 + 7)/12 = (-72 + 7)/12 = -65/12
-4 1/3 as an improper fraction is (-4 * 3 + 1)/3 = (-12 + 1)/3 = -11/3
Now, we can subtract the fractions:
-65/12 - 11/3
To subtract fractions, we need to have a common denominator. The least common multiple of 12 and 3 is 12.
-65/12 - 11/3 = (-65/12) * (1/1) - (11/3) * (4/4)
-65/12 - 44/12 = (-65 - 44)/12 = -109/12
Therefore, -6 7/12 - 4 1/3 is equal to -109/12.
To subtract mixed numbers, we need to convert them into improper fractions.
First, let's convert −6 7/12 into an improper fraction:
-6 is the same as -6/1, so the mixed number becomes (-6/1) + (7/12).
To find a common denominator, we multiply 1 and 12: 1 × 12 = 12.
Now, we can rewrite the mixed number with a common denominator:
(-6/1) × (12/12) + (7/12) = -72/12 + 7/12.
Next, let's convert 4 1/3 into an improper fraction:
4 is the same as 4/1, so the mixed number becomes (4/1) + (1/3).
To find a common denominator, we multiply 1 and 3: 1 × 3 = 3.
Now, we can rewrite the mixed number with a common denominator:
(4/1) × (3/3) + (1/3) = 12/3 + 1/3 = 13/3.
Now, we subtract the two improper fractions:
(-72/12 + 7/12) - (13/3).
To subtract fractions, we need a common denominator, which in this case is 12 multiplied by 3: 12 × 3 = 36.
Now, we can rewrite both fractions with the common denominator:
(-72/12) × (3/3) + (7/12) × (3/3) - (13/3) × (12/12) = -216/36 + 21/36 - 156/36.
Now, add the numerators and keep the denominator:
-216/36 + 21/36 - 156/36 = (-216 + 21 - 156)/36 = -351/36.
The answer is -351/36.