To simplify this expression, we need to follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
First, let's simplify the terms inside the parentheses:(10.66 ÷ 2) + (3/5) + 1 + 1/5 - 0.3= 5.33 + 0.6 + 1 + 0.2 - 0.3= 5.53 + 1.2 - 0.3= 6.43 - 0.3= 6.13
Now, let's substitute this simplified expression back into the original equation:1/3 + 6.13 ÷ 3
Next, simplify the division:1/3 + 6.13 ÷ 3= 1/3 + 2.04
Finally, add the fraction and the decimal:1/3 + 2.04 = 1/3 + 2 + 4/100= 1/3 + 2 + 1/25= 1/3 + 50/25 + 1/25= (25 + 50 + 1) / 25= 76/25
Therefore, the final simplified result is 76/25.
To simplify this expression, we need to follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):
First, let's simplify the terms inside the parentheses:
(10.66 ÷ 2) + (3/5) + 1 + 1/5 - 0.3
= 5.33 + 0.6 + 1 + 0.2 - 0.3
= 5.53 + 1.2 - 0.3
= 6.43 - 0.3
= 6.13
Now, let's substitute this simplified expression back into the original equation:
1/3 + 6.13 ÷ 3
Next, simplify the division:
1/3 + 6.13 ÷ 3
= 1/3 + 2.04
Finally, add the fraction and the decimal:
1/3 + 2.04 = 1/3 + 2 + 4/100
= 1/3 + 2 + 1/25
= 1/3 + 50/25 + 1/25
= (25 + 50 + 1) / 25
= 76/25
Therefore, the final simplified result is 76/25.