Question

Add these fractions using fraction bars after choosing a common denominator Use the fraction bar inactivate to find the difference

Answer 1

The fractions you have to add are 1/3 and -5/6

`(1)/(3)+(-(5)/(6))`

The denominators are "3" and "6"

The common denominator between both numbers is 6.

6*1=6

3*2=6

Multiply 1/3 by factor 2 so that both fractions will have the same denominator

`(1)/(3)\cdot2=(1\cdot2)/(3\cdot2)=(2)/(6)`

Now you can add both fractions

`(2)/(6)+(-(5)/(6))=(2)/(6)-(5)/(6)=(2-5)/(6)=-(3)/(6)`

The result is not in its most reduced form, to siplify the fraction divide both the numerator and denominator by 3

`-(3)/(6)/3=-(1)/(2)`

The result is -1/2, in the number line: