Add -1 1/3 + (-4 2/3).

-1 1/3 + (- 4 2/3)

1 answer

To add the two mixed numbers, -1 1/3 and -4 2/3, follow these steps:

  1. Convert mixed numbers to improper fractions:

    • For -1 1/3:
      \[ -1 \frac{1}{3} = -\left(\frac{3 \times 1 + 1}{3}\right) = -\frac{4}{3} \]
    • For -4 2/3:
      \[ -4 \frac{2}{3} = -\left(\frac{3 \times 4 + 2}{3}\right) = -\frac{14}{3} \]
  2. Add the improper fractions:

    • Now, add the two fractions: \[ -\frac{4}{3} + -\frac{14}{3} = -\frac{4 + 14}{3} = -\frac{18}{3} \]
  3. Simplify the result:

    • Simplifying -\frac{18}{3} gives: \[ -\frac{18}{3} = -6 \]

Therefore, the sum of -1 1/3 and -4 2/3 is \(-6\).