Compute 6/7÷3/5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So we have:
(6/7) ÷ (3/5) = (6/7) * (5/3)
Multiplying the numerators gives us 6 * 5 = 30, and multiplying the denominators gives us 7 * 3 = 21.
Therefore,
(6/7) ÷ (3/5) = 30/21
We can simplify this fraction by finding the greatest common divisor (GCD) of 30 and 21, which is 3.
Dividing both the numerator and denominator by 3, we get:
30/21 = 10/7
So,
6/7 ÷ 3/5 = 10/7