Compute: 6/7 / (3/5). Simplify the answer if possible.
To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, the reciprocal of 3/5 is 5/3.
Now, we can multiply 6/7 by 5/3:
(6/7) * (5/3) = (6 * 5) / (7 * 3) = 30 / 21
To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 30 and 21 is 3.
Dividing both the numerator and denominator by 3:
30/3 / 21/3 = 10 / 7
Therefore, 6/7 / (3/5) simplifies to 10/7.