−6 7/12 − 4 1/3
To subtract mixed numbers, we need to first convert them into improper fractions.
-6 7/12 can be converted to an improper fraction as follows:
(-6) x 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 can be written as -65/12.
Similarly, 4 1/3 can be converted to an improper fraction as follows:
4 x 3 = 12
12 + 1 = 13
Therefore, 4 1/3 can be written as 13/3.
Now, we can subtract these fractions:
-65/12 - 13/3
To subtract fractions, we need a common denominator. In this case, the common denominator is 12:
(-65/12) x (3/3) = -195/36
13/3 x (12/12) = 156/36
Therefore, the subtraction becomes:
-195/36 - 156/36 = (-195 - 156)/36 = -351/36
Simplifying this fraction, we get:
-351/36 = -39/4
So, -6 7/12 - 4 1/3 is equal to -39/4.
To subtract these 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.
-79/12 - 13/3
Step 3: Find a common denominator for the fractions, which is 12.
To do this, multiply the denominator of the first fraction by the denominator of the second fraction, which is 12 * 3 = 36.
Step 4: Adjust the fractions to have the same denominator.
-79/12 - 13/3 = -79/12 - (13/3 * 12/12) = -79/12 - 156/36
Step 5: Subtract the fractions.
-79/12 - 156/36 = (-79 * 3)/ (12 * 3) - 156/36 = -237/36 - 156/36
Step 6: Combine the fractions.
-237/36 - 156/36 = (-237 - 156)/36 = -393/36
Step 7: Simplify the fraction, if needed.
-393/36 = -131/12
So, the result of subtracting −6 7/12 from 4 1/3 is -131/12.