evaluate 2 divided by 64/125 -2/3
do you mean
2/(64/125-2/3)
or
2/(64/125) - 2/3?
Evaluate 2:64/125
2/[64/125]_23
To evaluate the expression 2 divided by 64/125 - 2/3, we follow the order of operations (also known as PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Step 1: Simplify the division inside the expression.
The expression can be written as 2 ÷ (64/125) - 2/3.
To simplify 64/125, divide the numerator (64) by the denominator (125):
64 ÷ 125 = 0.512.
So now the expression becomes 2 ÷ 0.512 - 2/3.
Step 2: Calculate the subtraction.
To subtract 2/3 from 2, convert both fractions to have a common denominator.
The common denominator is 3.
2 can be written as 6/3, and 2/3 remains as it is.
Now, the expression becomes (6/3) - (2/3).
Subtract the numerators and keep the denominator the same:
(6 - 2) / 3 = 4/3.
So, the expression simplifies to 2 ÷ 0.512 - 4/3.
Step 3: Evaluate the division.
Divide 2 by 0.512:
2 ÷ 0.512 = 3.90625.
So, the expression now becomes 3.90625 - 4/3.
Step 4: Calculate the subtraction.
Again, convert both fractions to have a common denominator (in this case, 3).
The expression becomes (3.90625 * 3) - 4.
(3.90625 * 3) = 11.71875.
11.71875 - 4 = 7.71875.
Therefore, the expression 2 divided by 64/125 - 2/3 simplifies to 7.71875.