Add −1 1/3+(−4 2/3).

1 answer

To add mixed numbers, we first need to convert them into improper fractions.

To convert -1 1/3 into an improper fraction, we multiply the whole number (-1) by the denominator of the fraction (3) and add the numerator (1). This gives us -1(3) + 1 = -3 + 1 = -2. So, -1 1/3 is equal to -2/3.

To convert -4 2/3 into an improper fraction, we multiply the whole number (-4) by the denominator of the fraction (3) and add the numerator (2). This gives us -4(3) + 2 = -12 + 2 = -10. So, -4 2/3 is equal to -10/3.

Now, we can add the two improper fractions: -2/3 + (-10/3) = (-2 - 10)/3 = -12/3 = -4.

Therefore, the sum of -1 1/3 + (-4 2/3) is -4.