-6 7/12 - 4 1/3
To subtract mixed numbers, you need to first convert them to improper fractions.
-6 7/12 can be written as -6 + 7/12 = (-6*12)/12 + 7/12 = -72/12 + 7/12 = -65/12
Similarly, 4 1/3 can be written as 4 + 1/3 = (4*3)/3 + 1/3 = 12/3 + 1/3 = 13/3
Now, we can subtract -65/12 - 13/3:
-65/12 - 13/3 = (-65*3)/(12*3) - (13*12)/(3*12) = -195/36 - 156/36 = (-195 - 156)/36 = -351/36
To simplify the result, we can divide the numerator and denominator by their greatest common divisor, which is 3:
-351/36 = (-351/3)/(36/3) = -117/12
Therefore, -6 7/12 - 4 1/3 = -117/12.
What is -6 7/12 - 4 1/3
To subtract mixed numbers, you can rewrite them as improper fractions and then subtract.
First, convert -6 7/12 to an improper fraction:
-6 7/12 = (-6*12 + 7)/12 = (-72 + 7)/12 = -65/12
Next, convert 4 1/3 to an improper fraction:
4 1/3 = (4*3 + 1)/3 = (12 + 1)/3 = 13/3
Now, subtract the two fractions:
-65/12 - 13/3
To subtract fractions with different denominators, find a common denominator for both. In this case, the common denominator is 12:
(-65/12) - (13*4/3*4)
Simplify the expression:
-65/12 - 52/12
Combine the numerator:
(-65 - 52)/12 = -117/12
The final answer is -117/12, which can also be written as -9 3/12 or -9 1/4.
To subtract -6 7/12 from 4 1/3, you need to find a common denominator first. The least common denominator (LCD) of 12 and 3 is 12.
Now let's convert the mixed numbers into improper fractions:
-6 7/12 = -(6 * 12 + 7)/12 = -79/12
4 1/3 = (4 * 3 + 1)/3 = 13/3
Now, subtract -79/12 from 13/3:
13/3 - 79/12
To subtract fractions, we need to have a common denominator. The LCD is 12. Let's convert the fractions:
13/3 * 4/4 = 52/12
Now subtract the fractions:
52/12 - 79/12 = (52 - 79)/12 = -27/12
Simplifying the result, we get:
-27/12 = -(3/4)
Therefore, -6 7/12 - 4 1/3 = -3/4.