divide 40x/64y by 5x/8y

40x/64y * 8y/5x (remember: division is the reciprocal of multiplication )

8/8=1 check me.

To divide the expression (40x/64y) by (5x/8y), you can follow these steps:

Step 1: Invert the second fraction.
To divide by a fraction, you need to multiply by its reciprocal. The reciprocal of 5x/8y is 8y/5x.

Step 2: Rewrite the division as multiplication.
Instead of dividing, you can multiply the first fraction by the reciprocal of the second fraction.
So, the expression (40x/64y) ÷ (5x/8y) can be rewritten as (40x/64y) * (8y/5x).

Step 3: Simplify the expression.
Now, multiply the numerators (top numbers) and the denominators (bottom numbers) separately.
(40x * 8y) / (64y * 5x)

Step 4: Cancel out common factors.
In this case, you can cancel out the common factors between the numerator and denominator:
- 40x and 5x share a common factor of 5x.
- 64y and 8y share a common factor of 8y.

After canceling, you'll be left with:
8 * y / 8 * 1

Step 5: Simplify further if possible.
In this case, the factor of 8 can be canceled out, giving:
y / 1

So, the final answer is simply y.