Add −12/7+(3/14)
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.
To add −12/7 and 3/14, we need to find a common denominator.
The prime factors of 7 are 7 and 1, and the prime factors of 14 are 7 and 2. The common denominator is 7 * 2 = 14.
Now, we need to make the denominators of both fractions equal to 14.
To do this, multiply −12/7 by 2/2:
(−12/7) * (2/2) = −24/14
Now, we can add the two fractions together:
−24/14 + 3/14 = −21/14
Therefore, −12/7 + 3/14 = −21/14.