Question

What is the difference of 5/6-5/12? option 0 5/12 7/12 5/6

Answer 1

We need to solve

`(5)/(6)-(5)/(12)`

If we multiply by 2/2 the first fraction, we have

`(5)/(6)\cdot((2)/(2))-(5)/(12)`

this is the same fraction because 2/2 is equal to one. In other words,

`(5)/(6)\cdot((2)/(2))=(5)/(6)\cdot1=(5)/(6)`

that is, we have not altered the fraction.However, in this form its more easy to see that

`(5)/(6)\cdot((2)/(2))-(5)/(12)=(10)/(12)-(5)/(12)`

because

`(5)/(6)\cdot((2)/(2))=(10)/(12)`

but now, both fraction have the same denominator. Hence, we obtain

`(10)/(12)-(5)/(12)=(10-5)/(12)=(5)/(12)`

and the answer is 5/12.