add:-12/7+(3/14)

5 answers

To add \(-\frac{12}{7}\) and \(\frac{3}{14}\), we first need to have a common denominator.

The denominators are 7 and 14. The least common denominator (LCD) is 14.

Now we can rewrite \(-\frac{12}{7}\) with a denominator of 14:

\[ -\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14} \]

Now we can add the two fractions:

\[ -\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14} \]

We can simplify \(\frac{-21}{14}\):

\[ \frac{-21}{14} = \frac{-3}{2} \quad \text{(by dividing the numerator and denominator by 7)} \]

Therefore,

\[ -\frac{12}{7} + \frac{3}{14} = -\frac{3}{2} \]

whats the answer

The answer to \(-\frac{12}{7} + \frac{3}{14}\) is \(-\frac{3}{2}\).

thats wrong

Let's go through the calculation again step by step to ensure accuracy.

We need to add \(-\frac{12}{7}\) and \(\frac{3}{14}\).

  1. Find a common denominator:
    The denominators are 7 and 14. The least common denominator (LCD) is 14.

  2. Convert \(-\frac{12}{7}\) to have a denominator of 14:
    \[ -\frac{12}{7} = -\frac{12 \times 2}{7 \times 2} = -\frac{24}{14} \]

  3. Now we can add the two fractions:
    \[ -\frac{24}{14} + \frac{3}{14} = \frac{-24 + 3}{14} = \frac{-21}{14} \]

  4. Simplifying \(\frac{-21}{14}\): \[ \frac{-21}{14} = -\frac{3}{2} \quad \text{(dividing the numerator and denominator by 7)} \]

So the final result is indeed \(-\frac{3}{2}\).

If you believe there’s a mistake, please let me know which part doesn’t seem right.