Question

How do you subtract 5/6 - 5/9 then write it as a fraction in simplest form?

Answer 1

To subtract two fractions we can use the following:

`(a)/(b)-(c)/(d)=((a\cdot d)-(b\cdot c))/(b\cdot d)`

So 5/6 - 5/9 is equal to:

`(5)/(6)-(5)/(9)=((5\cdot9)-(6\cdot5))/(6\cdot9)=(45-30)/(54)=(15)/(54)`

Finally, we can simplify the fraction dividing the numerator and denominator by 3, as:

`(15)/(54)=(15/3)/(54/3)=(5)/(18)`

So, the answer is 5/18

Answer: 5/18