To find the quotient of the expression 3x² ÷ 4x ÷ 15x ÷ 3, we need to simplify it step by step.
First, let’s rewrite the expression:
(3x²) ÷ (4x) ÷ (15x) ÷ 3
We can simplify this step by step:
- Divide 3x² by 4x:
- This gives us (3/4)x since both 3 and 4 are constants and we can reduce the x² on the top by x from the denominator.
- Now we have (3/4)x ÷ (15x):
- This simplifies to (3/4) ÷ 15 and x/x = 1, which means we can drop the x.
- So, we calculate (3/4) ÷ 15 = 3/(4*15) = 3/60 = 1/20.
- Finally, we need to divide by 3:
- This means we have (1/20) ÷ 3 = 1/(20*3) = 1/60.
Therefore, the final result for the quotient 3x² ÷ 4x ÷ 15x ÷ 3 is 1/60.