To solve the expression 2 5/6 * 1 7/9 + 5/6 - 3/9 ÷ 4/5, we need to first convert the mixed numbers to improper fractions and then perform the operations in order of operations.
2 5/6 = 17/6 1 7/9 = 16/9
Now we can rewrite the expression as: 17/6 * 16/9 + 5/6 - 3/9 ÷ 4/5
To solve this, we need to follow the order of operations which is parentheses, exponents, multiplication, division, addition, and subtraction.
To solve the expression 2 5/6 * 1 7/9 + 5/6 - 3/9 ÷ 4/5, we need to first convert the mixed numbers to improper fractions and then perform the operations in order of operations.
2 5/6 = 17/6
1 7/9 = 16/9
Now we can rewrite the expression as:
17/6 * 16/9 + 5/6 - 3/9 ÷ 4/5
To solve this, we need to follow the order of operations which is parentheses, exponents, multiplication, division, addition, and subtraction.
Step 1: Perform the multiplication and division first:
(17/6 * 16/9) + 5/6 - (3/9 ÷ 4/5)
(272/54) + 5/6 - (1/3)
Step 2: Find a common denominator and perform addition and subtraction:
(272/54) + 45/54 - (18/54)
317/54 - 18/54
299/54
Therefore, the simplified result of the expression 2 5/6 * 1 7/9 + 5/6 - 3/9 ÷ 4/5 is 299/54.