What is -6 7/12 -4/1/3
To solve the expression -6 7/12 - 4/1/3, we need to simplify step by step:
First, we will convert -4/1/3 into a mixed number. The denominator 3 is in the form of a fraction, so we write it as 3/1:
-4/1/3 = -4/1 ÷ 3/1 = -4/1 × 1/3 = -4/3
Now we add -6 7/12 and -4/3:
-6 7/12 - 4/3 can be written as a common fraction by converting the mixed number -6 7/12 into a fraction. The denominator is 12, so we multiply -6 by 12 and add the numerator, resulting in -79/12:
-6 7/12 = (-6 × 12 + 7)/12 = (-72 + 7)/12 = -65/12
Now we have a common fraction expression:
-65/12 - 4/3
To solve the expression, we need a common denominator. The least common multiple (LCM) of 12 and 3 is 12. We can convert 4/3 into an equivalent fraction with a denominator of 12 by multiplying the numerator and denominator by 4:
4/3 = (4 × 4)/(3 × 4) = 16/12
Now we can subtract the fractions:
-65/12 - 16/12 = (-65 - 16)/12 = -81/12
Thus, the simplified expression is -81/12.
To solve the expression -6 7/12 - 4/1/3, we need to convert the mixed number and the fraction into improper fractions.
-6 7/12 can be written as -((12 * 6) + 7)/12 = -79/12.
Next, let's convert 4/1/3 into an improper fraction. To do this, we need to find the reciprocal of 1/3, which is 3/1. Now, we multiply 4/1 by 3/1:
(4/1) * (3/1) = 12/1 = 12.
So, 4/1/3 is equal to 12.
Now, we can solve the expression:
-6 7/12 - 4/1/3 = -79/12 - 12.
To subtract these two fractions, we need to find a common denominator. In this case, the least common multiple of 12 and 1 is 12.
-79/12 is already in terms of the denominator 12, so we don't need to change it.
To make 12 have a denominator of 12, we can multiply it by 12:
12 * 12 = 144.
So, the expression becomes:
-79/12 - 12/12 = -79/12 - 144/12.
Now, we can subtract:
(-79 - 144)/12 = -223/12.
Therefore, -6 7/12 - 4/1/3 is equal to -223/12.