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.
What is -6 7/12 -4/1/3
1 answer