Answer:
2 5/26
Explanation:
1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c
- 3 * 6 + 1/ 6 ÷ -1 4/9
2) Simplify 3*6 to 18.
-18+1/6 ÷ -1 4/9
3) Simplify 18 + 1 to 19.
-19/6 ÷ -1 4/9
4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c
-19/6 ÷ -1*9+4/4
5) Simplify 1 * 9 to 9
-19/6 ÷ -9+4/9
6) Simplify 9 + 4 to 13.
-19/6 ÷ -13/9
7) Use this rule: a ÷ b/c = a × c/b
-19/6 × 9/-13
8) Use this rule: a × c/d = ac/bd
- 19*9/6*-13
9) Simplify 19 * 9to 171
-171/6*-13
10) Simplify 6 * -13 to -78
-171/-78
11) Move the negative sign to the left.
-(-171/78)
12) simplify 171/78 to 57/26
-(-57/26)
13) Remove parentheses.
57/26
14) Convert to mixed fraction.
2 5/26