compute: (6/4) / (3/5). simplfy the answer if possbile.
To compute (6/4) / (3/5), we can simplify by multiplying the numerator by the reciprocal of the denominator:
(6/4) / (3/5) = (6/4) * (5/3)
Next, we can simplify by canceling out any common factors in the numerator and denominator:
(6/4) * (5/3) = (2 * 3 / 2 * 2) * (5/3) = (3/2) * (5/3)
Now, we can multiply straight across:
(3/2) * (5/3) = (3 * 5) / (2 * 3) = 15/6
Finally, we can simplify the fraction. The greatest common divisor of 15 and 6 is 3:
15/6 = (15/3) / (6/3) = 5/2
Therefore, the simplified answer is 5/2.