Question

Please help me with this one 5/6 ÷ 1/7

Answer 1

You know that a fraction has the following form:

`(m)/(n)`

Where "m" is the numerator and "n" is the denominator.

In order to solve the exercise, you need to remember that, by definition:

`(a)/(b)\cdot(c)/(d)=(a)/(b)\cdot(d)/(c)=(ad)/(bc)`

In this case you have:

`(5)/(6)/(1)/(7)`

Then, in order to divide the fractions you must multiply the first one by the reciprocal of the second one. So you get:

`=(5)/(6)\cdot(7)/(1)=(5\cdot7)/(6\cdot1)=(35)/(6)`

The answer is:

`=(35)/(6)`