40y/88 explain what steps you took to simplify and show your work
40 = 8 * 5
88 = 8 * 11
40 y / 88 =
( 8 * 5 ) y / ( 8 * 11 ) =
5 y /11
To simplify the expression 40y/88, you can use the following steps:
Step 1: Simplify the numerator (40y).
Since there are no common factors other than 1 between 40 and y, the numerator cannot be simplified any further.
Step 2: Simplify the denominator (88).
The number 88 can be factored into its prime factors: 2 × 2 × 2 × 11.
Step 3: Cancel out any common factors between the numerator and denominator.
Looking at the prime factorization of 88, there are two 2's in the denominator. Therefore, we can cancel one of the 2's with the numerator.
(40y) / (2 × 2 × 2 × 11) = (40y) / (2 × 2 × 11)
After canceling out one of the 2's, we are left with:
(40y) / (2 × 11) = (40y) / 22
Step 4: Simplify further if possible.
In this case, the expression can no longer be simplified any further because there are no common factors left between the numerator and the denominator.
Final result: (40y) / 88 simplifies to (40y) / 22.