How do you simplify abs(1/5-1/3)?

1 Answer
Mar 24, 2018

2/15

Explanation:

"evaluating the fractions as a first step"

"Before subtracting we require a "color(blue)"common denominator"

"the lowest common multiple of 5 and 3 is 15"

rArr1/5-1/3=(1xx3)/(5xx3)-(1xx5)/(3xx5)=3/15-5/15

"subtract the numerators leaving the denominator"

rArr3/15-5/15=(3-5)/15=-2/15

"the "color(blue)"absolute value is always positive"

rArr|-2/15|=2/15