Add −12/7+(3/14). Write your answer as a reduced improper fraction.(1 point)
To add −12/7 and 3/14, we need to find a common denominator for both fractions. In this case, the least common denominator is 14.
Converting −12/7 to a fraction with a denominator of 14, we have:
−12/7 * 2/2 = -24/14
Now we can add the fractions:
-24/14 + 3/14 = -21/14
So the answer is -21/14, which is already in reduced form.
To add the fractions −12/7 and 3/14, we need to find a common denominator. The common denominator in this case is 14 since 7 can be multiplied by 2 to get 14.
So, let's rewrite the fractions: −12/7 = −(12/7) * (2/2) = −24/14 and 3/14 remains the same.
Now, we can add the two fractions:
−24/14 + 3/14 = (-24 + 3)/14 = -21/14.
Therefore, the sum of −12/7 and 3/14 as a reduced improper fraction is -21/14.