Simplify 3 1/5 ÷ 6/7. Answer as a mixed number in simplest form.

Answer 1

To divide fractions, we can multiply by the reciprocal of the second fraction. The reciprocal of 6/7 is 7/6.

So, 3 1/5 ÷ 6/7 can be written as (16/5) * (7/6).

Multiplying these fractions, we get:
(16/5) * (7/6) = (16*7) / (5*6) = 112/30 = 56/15.

To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator, which is 1.

Therefore, the simplified fraction is 56/15. To express it as a mixed number, we divide 56 by 15.

56 ÷ 15 = 3 remainder 11.

So, the final answer is 3 11/15.