Add −12/7+(3/14). Write your answer as a reduced improper fraction!!!

1 answer

To add the fractions, we need to find a common denominator. The least common multiple of 7 and 14 is 14.

For the first fraction, we need to multiply the numerator and denominator by 2 to get a denominator of 14:

-12/7 = (-12 * 2) / (7 * 2) = -24/14

Now we have:

-24/14 + 3/14

To combine the fractions, we add the numerators and keep the denominator the same:

(-24 + 3) / 14 = -21/14

Next, we can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7:

-21/14 = (-21 ÷ 7) / (14 ÷ 7) = -3/2

So the answer, when reduced to an improper fraction, is -3/2.