40x/64y * 8y/5x (remember: division is the reciprocal of multiplication )
8/8=1 check me.
8/8=1 check me.
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) รท (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.