Add −12/7+(3/14)

1 answer

To add −12/7 and 3/14, we need to find a common denominator and then add the fractions.

The common denominator will be the least common multiple of 7 and 14, which is 14.

Converting −12/7 to a fraction with a denominator of 14, we multiply the numerator and denominator by 2:

−12/7 = (−12 * 2)/(7 * 2) = −24/14.

So the calculation becomes:

−24/14 + 3/14

Now that the fractions have a common denominator, we can add the numerators and keep the denominator the same:

(−24 + 3)/14 = -21/14.

Therefore, −12/7 + 3/14 = -21/14.