Question

What is (6/7)/(2/7)?

Answer 1

To find the value of;

`(((6)/(7)))/(((2)/(7)))`

When dividing fractions, for example a divided by b is equals a times 1/b;

`a\text{ divided by b = a }*(1)/(b)`

note that the divisor which is b is inversed and multiplied.

So, let us apply the same rule to the given question.

The divisor which is the second fraction for the question is 2/7, we need to inverse 2/7 and multiply it by the first fraction.

The inverse of 2/7 is 7/2, So;

`(((6)/(7)))/(((2)/(7)))=\text{ }(6)/(7)*(7)/(2)=((6*7))/((7*2))=(42)/(14)`

And finally;

`(42)/(14)=3`

Therefore the final answer is 3.

`(((6)/(7)))/(((2)/(7)))=\text{ 3}`