Evaluate. Write your answer as a fraction in simplest form.

2 1/6 −(−8/3)+(−4 7/9)

1/18

Step-by-step explanation:

first, you make the fraction a mixed number so 2 2/3.

second, the two minuses cancel each other out so 2 1/6 + 2 2/3

third, make the 2/3 from 2 2/3 into 4/6 so you can add it to the 2 1/6

fourth, add your 2 1/6 and your 2 4/6 to get 4 5/6.

that’s the first part: 2 1/6 -(-8/3) is equal to 4 5/6

then, since you’re adding a negative number, it’s basically subtracting the 4 7/9 from 4 5/6

first you subtract the whole numbers = 0

then, make the denominators the same: (6*9, common denominator is 54) so since you’re multipling the 9 from 7/9 by 6, also multiply the 7 by 6 to get 42. 42/54. do the same but with a 9 on the 5/6. you get 45/54

so now you can do 42/54 — 45/54 to get 3/54

54/3 is 18 so you can simplify to 1/18

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step-by-step explanation: