How do you simplify abs(1/5-1/3)∣∣∣15−13∣∣∣?
1 Answer
Mar 24, 2018
Explanation:
"evaluating the fractions as a first step"evaluating the fractions as a first step
"Before subtracting we require a "color(blue)"common denominator"Before subtracting we require a common denominator
"the lowest common multiple of 5 and 3 is 15"the lowest common multiple of 5 and 3 is 15
rArr1/5-1/3=(1xx3)/(5xx3)-(1xx5)/(3xx5)=3/15-5/15⇒15−13=1×35×3−1×53×5=315−515
"subtract the numerators leaving the denominator"subtract the numerators leaving the denominator
rArr3/15-5/15=(3-5)/15=-2/15⇒315−515=3−515=−215
"the "color(blue)"absolute value is always positive"the absolute value is always positive
rArr|-2/15|=2/15⇒∣∣∣−215∣∣∣=215
