Add −1 1/3+(−4 2/3).
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.
To add −1 1/3 and (−4 2/3), follow these steps:
Step 1: Convert the mixed numbers to improper fractions:
-1 1/3 = -4/3
-4 2/3 = -14/3
Step 2: Add the fractions together:
-4/3 + (-14/3) = (-4 - 14)/3 = -18/3
Step 3: Simplify the fraction, if possible:
-18/3 = -6
Therefore, −1 1/3 + (−4 2/3) = -6.