simplify: 6-y/6/1/6-1/y
6-y/6*6y/y-6= 6y/6=y
Is this correct help i need help!!
good grief!
How can anybody tell what this means with all those /'s
You will definitely need brackets to establish the order of operation.
it is division
To simplify the expression 6 - y/6 / 1/6 - 1/y, we should follow the order of operations (PEMDAS/BODMAS) and start by simplifying within parentheses, then evaluating any exponents or roots, followed by multiplication and division, and finally addition and subtraction.
First, let's rewrite the expression with proper parentheses to show the division more clearly:
(6 - y/6) / (1/6 - 1/y)
Now, let's simplify step by step:
1. Simplify within parentheses:
(6 - y/6) = (6*6 - y) / 6 = (36 - y) / 6
2. Simplify the denominator:
(1/6 - 1/y) = (y - 6) / (6y)
Now, we have:
(36 - y) / 6 / (y - 6) / (6y)
To divide fractions, we can multiply by the reciprocal of the second fraction (flipping the numerator and denominator). So, we can rewrite the expression as:
(36 - y) / 6 * (6y) / (y - 6)
Simplifying further:
(36 - y) * (6y) / (6 * (y - 6))
= (36 - y) * (y) / (y - 6)
Finally, we can distribute the numerator:
(36y - y^2) / (y - 6)
This is the simplified form of the given expression: (36y - y^2) / (y - 6)