Answer:
The expression 32/4.2/.2 can be simplified by following the order of operations, which states that we should perform any calculations inside parentheses first, then any exponentiation, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
To simplify the given expression, we start by dividing 32 by 4.2, which equals approximately 7.619. Then, we divide this result by 0.2, which is equivalent to multiplying by 5. Therefore, the expression 32/4.2/.2 is equivalent to 7.619/0.2.
To divide a number by another number, we can multiply the first number by the reciprocal of the second number. In this case, dividing by 0.2 is the same as multiplying by 1/0.2.
So, 7.619/0.2 can be rewritten as 7.619 * (1/0.2). Multiplying these two numbers gives us approximately 38.095.
Therefore, the expression 32/4.2/.2 is equivalent to approximately 38.095.