What is -6 7/12- 4 1/3
To subtract -6 7/12 from 4 1/3, we need to convert both mixed numbers to improper fractions.
-6 7/12 can be written as -6 - 7/12, which is equal to -6 * 12/12 - 7/12 = -72/12 - 7/12 = -79/12.
Similarly, 4 1/3 can be written as 4 * 3/3 + 1/3 = 12/3 + 1/3 = 13/3.
So, the expression -6 7/12 - 4 1/3 is equal to -79/12 - 13/3.
To subtract fractions, we need to have a common denominator. The common denominator in this case is 12 * 3 = 36.
Converting -79/12 and 13/3 to fractions with a denominator of 36:
-79/12 = -79 * 3/12 * 3 = -237/36.
13/3 = 13 * 12/3 * 12 = 156/36.
Now we can subtract these fractions:
-237/36 - 156/36 = (-237 - 156)/36 = -393/36.
The simplified result is -393/36, which can be further reduced if needed.
To subtract mixed numbers, you need to convert them into improper fractions.
Step 1: Convert the mixed numbers into improper fractions.
-6 7/12 = - (6 x 12 + 7)/12 = - (72 + 7)/12 = -79/12
4 1/3 = 4 x 3 + 1/3 = 12 + 1/3 = 13/3
Step 2: Subtract the fractions.
-79/12 - 13/3
To subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 12.
Step 3: Find the common denominator.
-79/12 - 13/3 = -79/12 - 13 x 4/3 x 4 = -79/12 - 52/12
Step 4: Subtract the numerators.
-79/12 - 52/12 = (-79 - 52)/12 = -131/12
Therefore, -6 7/12 - 4 1/3 = -131/12.