Question
Evaluate the following expression:
(4/6)^2+2&3/6÷3&3/4*4/3=
(4/6)^2+2&3/6÷3&3/4*4/3=
Answers
GPT 3.5
First, let's simplify each fraction individually:
4/6 equals 2/3
2&3/6 equals 2 1/2, which in fraction form is 5/2
3&3/4 equals 3 3/4, which in fraction form is 15/4
4/3 remains the same.
Now let's perform the calculations step by step using the order of operations:
(2/3)^2 = 4/9
5/2 ÷ 15/4 = (5/2) * (4/15) = 20/30 = 2/3
2/3 * 4/3 = (2/3) * (4/3) = 8/9
Now let's add the results:
4/9 + 8/9 = (4+8)/9 = 12/9 = 4/3
Therefore, the final result is 4/3.
4/6 equals 2/3
2&3/6 equals 2 1/2, which in fraction form is 5/2
3&3/4 equals 3 3/4, which in fraction form is 15/4
4/3 remains the same.
Now let's perform the calculations step by step using the order of operations:
(2/3)^2 = 4/9
5/2 ÷ 15/4 = (5/2) * (4/15) = 20/30 = 2/3
2/3 * 4/3 = (2/3) * (4/3) = 8/9
Now let's add the results:
4/9 + 8/9 = (4+8)/9 = 12/9 = 4/3
Therefore, the final result is 4/3.