To solve this problem, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's convert the mixed numbers into improper fractions:1 1/35 = (351 + 1)/35 = 36/351 8/35 = (351 + 8)/35 = 43/35
Now, let's simplify the expression step by step:
(36/35 ÷ 4/5 - 43/35) 3 1/3= (36/35 ÷ 4/5 - 43/35) 10/3= ((36/35) (5/4) - 43/35) 10/3= (180/140 - 43/35) 10/3= (9/7 - 43/35) 10/3= (9/7 - (431)/35) 10/3= (9/7 - 43/35) 10/3= ((95)/7 - 43)/35 10/3= (45/7 - 43)/35 10/3= (45/7 - 301/7) 10/3= (-256/7) 10/3= -2560/21
Therefore, the answer is -2560/21.
To solve this problem, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, let's convert the mixed numbers into improper fractions:
1 1/35 = (351 + 1)/35 = 36/35
1 8/35 = (351 + 8)/35 = 43/35
Now, let's simplify the expression step by step:
(36/35 ÷ 4/5 - 43/35) 3 1/3
= (36/35 ÷ 4/5 - 43/35) 10/3
= ((36/35) (5/4) - 43/35) 10/3
= (180/140 - 43/35) 10/3
= (9/7 - 43/35) 10/3
= (9/7 - (431)/35) 10/3
= (9/7 - 43/35) 10/3
= ((95)/7 - 43)/35 10/3
= (45/7 - 43)/35 10/3
= (45/7 - 301/7) 10/3
= (-256/7) 10/3
= -2560/21
Therefore, the answer is -2560/21.