How do you evaluate #1 13/15 + 4 11/15#?

2 Answers
Jul 24, 2016

Answer:

#6 9/15#

Explanation:

Split it:

Whole numbers: #color(blue)(1+4=5)#

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.
The fractions both have the same bottom number (denominator).
Consequently you can directly add the top numbers (numerators)

Fractions: #13/15+11/15 " "->" "(13+11)/15= 24/15#

But #24/15" is the same as " 15/15+9/15#

and #15/15=1" giving "color(blue)(13/15+11/15= 1+9/15)#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(green)("Putting it all together")#

#5+1+9/15 = 6 9/15#

Jul 24, 2016

Answer:

#6 3/5#

Explanation:

#1 13/15+4 11/15#

#=(15(1)+13)/15+(15(4)+11)/15#

#=(15+13)/15+(60+11)/15#

#=28/15+71/15#

#=99/15#
Dividing numerator and denominator by #3# since #3/3=1#
we get
#(99/3)/(15/3)#

#=33/5#
#6 3/5#