Add −1/1/3+(−4/2/3).
To add -1/1/3 and -4/2/3, we first need to find a common denominator for the fractions. In this case, the common denominator is 3.
To convert -1/1/3 to a fraction with a denominator of 3, we multiply the whole number (-1) by 3 and add the numerator (1), resulting in -4/3.
To convert -4/2/3 to a fraction with a denominator of 3, we multiply the whole number (-4) by 3 and add the numerator (2), resulting in -10/3.
Now we can add the fractions: -4/3 + (-10/3) = -14/3.
Therefore, -1/1/3 + (-4/2/3) equals -14/3.
To add the two fractions −1/1/3 and −4/2/3, we need to first find a common denominator. The common denominator of 1/3 and 2/3 is 3.
To convert −1/1/3 to an equivalent fraction with a denominator of 3, we can multiply both the numerator and denominator by 3. This gives us −3/3/3.
Next, we convert −4/2/3 to an equivalent fraction with a denominator of 3. To do this, multiply both the numerator and denominator by 3. This gives us −12/6/3.
Now that both fractions have the same denominator, we can add them together:
−3/3/3 + −12/6/3
To add the fractions, we add the numerators while keeping the denominators the same:
(-3 + -12)/6/3
Simplifying, we get:
-15/6/3
This fraction can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 3:
-5/2
Therefore, −1/1/3 + −4/2/3 = -5/2.