Add −12/7+(3/14). Write your answer as a reduced improper fraction
To add -12/7 and 3/14, we need a common denominator. The least common multiple of 7 and 14 is 14. We can then rewrite -12/7 as -24/14:
-12/7 = (-12/7) * (2/2) = -24/14
Now the expression becomes:
-24/14 + 3/14
We can then simply add the numerators while keeping the denominator the same:
(-24 + 3)/14 = -21/14
Thus, the answer as a reduced improper fraction is -21/14.
To add the fractions -12/7 and 3/14, we need to find a common denominator.
The least common multiple of 7 and 14 is 14. So, we'll convert both fractions to have a denominator of 14.
For -12/7, we'll multiply both the numerator and denominator by 2 to get -24/14.
For 3/14, we don't need to do anything since it already has a denominator of 14.
Now, we can add the fractions:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
Therefore, the sum of -12/7 and 3/14 is -21/14.