-12/7+(3/14)
To solve this expression, we first need to find a common denominator for the fractions. In this case, the common denominator is 14.
-12/7 can be converted to -24/14, so the expression becomes:
-24/14 + 3/14
When the denominators are the same, we can simply add the numerators:
(-24 + 3)/14 = -21/14
However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 7:
-21/14 = -3/2
So, -12/7 + 3/14 is equal to -3/2.
To simplify the expression -12/7 + 3/14, you need to find a common denominator for the fractions. The least common denominator (LCD) for the fractions 7 and 14 is 14.
Next, you need to convert both fractions to use the LCD.
For the first fraction, -12/7, you can multiply the numerator and denominator by 2 to get -24/14.
For the second fraction, 3/14, it already has the denominator of 14.
Now that both fractions have the same denominator, you can add them together:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
Therefore, the simplified expression -12/7 + 3/14 is equal to -21/14.