add -12/7 + (3/14)
To add -12/7 and 3/14, we need to find a common denominator. The least common denominator of 7 and 14 is 14. Let's convert the fractions using this common denominator:
-12/7 * 2/2 = -24/14
3/14
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.
To add -12/7 and 3/14, you need to find a common denominator. The least common multiple (LCM) of 7 and 14 is 14.
Next, adjust the fractions to have the same denominator (14):
-12/7 is already in terms of 7, so it remains the same.
3/14 can be multiplied by 2/2 to obtain a denominator of 14, resulting in 6/28.
Now that both fractions have the same denominator, you can add them:
-12/7 + 6/28 = (-12*4)/(7*4) + 6/28 = -48/28 + 6/28
Since the denominators are now the same, you can combine the numerators:
-48/28 + 6/28 = (-48 + 6)/28 = -42/28
Finally, you can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor of 14:
-42/28 = -3/2
Therefore, -12/7 + 3/14 equals -3/2.