add -12/7 + (3/14) Write your answer as a reduced improper fraction
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 14. We can rewrite -12/7 as -24/14.
Now we can add the fractions:
-24/14 + 3/14 = (-24 + 3)/14 = -21/14
So, the answer as a reduced improper fraction is -21/14.
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To add -12/7 and 3/14, we need to find a common denominator.
The common denominator between 7 and 14 is 14.
Now, let's convert -12/7 into a fraction with a denominator of 14:
(-12/7) * (2/2) = -24/14
Now, we can add the fractions:
-24/14 + 3/14 = (-24 + 3) / 14 = -21/14
Therefore, the sum of -12/7 and 3/14 as a reduced improper fraction is -21/14.
To add these fractions, you need to find a common denominator. In this case, the least common denominator (LCD) is 14. To convert -12/7 to an equivalent fraction with a denominator of 14, you can multiply both the numerator and denominator by 2:
-12/7 = (-12 * 2)/(7 * 2) = -24/14
Now, you can add the fractions:
-24/14 + 3/14
Since both fractions have the same denominator, you can simply add the numerators:
(-24 + 3)/14 = -21/14
This is your answer as an improper fraction. To write it as a reduced improper fraction, you can simplify it by finding the greatest common divisor (GCD) of the numerator and denominator, which is 7:
-21/14 = (-21/7)/(14/7) = -3/2
Therefore, the answer, written as a reduced improper fraction, is -3/2.