5/9-(-3 1/3) = 35/9 = 3 8/9
Conversion a mixed number -3 1/3
to a improper fraction: -3 1/3 = -3 1/3= -3 · 3 + (-1)/3= -9 + (-1)/3 = -10/3
To find a new numerator:
a) Multiply the whole number -3 by the denominator 3. Whole number -3 equally -3 * 3/3 = -9/3
b) Add the answer from previous step -9 to the numerator 1. New numerator is -9 + 1 = -8
c) Write a previous answer (new numerator -8) over the denominator 3.
Minus three and one third is minus eight thirds
Subtract: 5/9- (-10/3) = 5/9- (-10) · 3/
3 · 3 = 5/9 - (-30/9) = 5 - (-30)/9 = 35/9