What is -6 7/12 -4 1/3
To subtract -6 7/12 from -4 1/3, we need to find the common denominator for 12 and 3, which is 12. Let's convert the fractions to have a denominator of 12:
-6 7/12 = -6 * 12/12 + 7/12 = -72/12 + 7/12 = -65/12
-4 1/3 = -4 * 3/3 + 1/3 = -12/3 + 1/3 = -11/3
Now subtract the fractions:
-65/12 - (-11/3) = -65/12 + 11/3
To add these fractions, we need to find the common denominator for 12 and 3, which is 12. Multiply the numerator and denominator of 11/3 by 4:
-65/12 + 11/3 = -65/12 + 44/12
Now, subtract the fractions:
-65/12 + 44/12 = -21/12
Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor (3):
-21/12 = -7/4
Therefore, -6 7/12 - 4 1/3 is equal to -7/4.
To subtract mixed numbers, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-6 7/12 = -((6 * 12) + 7)/12 = -79/12
-4 1/3 = -((4 * 3) + 1)/3 = -13/3
Step 2: Subtract the fractions. Since the denominators are different, find a common denominator.
The common denominator for 12 and 3 is 12.
((-79)/12) - ((-13)/3) = ((-79 * 1) + (-13 * 4))/(12 * 1) = (-79 - 52)/12 = -131/12
Step 3: Simplify the fraction, if possible.
The fraction -131/12 cannot be simplified further.
Therefore, -6 7/12 - 4 1/3 = -131/12.