How do you add #1\frac { 5} { 6}+ 5\frac { 3} { 8}#?

2 Answers
Barney V.
Apr 4, 2017

#color(red)(7 5/24#

Explanation:

#1 5/6+5 3/8#

#:.=11/6+43/8#

#:.=(44+129)/24#

#:.=173/24#

#:.color(red)(=7 5/24#

Jim G.
Apr 4, 2017

#7 5/24#

Explanation:

An alternative approach is.

#1 5/6=1+5/6" and " 5 3/8=5+3/8#

#rArr1 5/6+5 3/8=1+5/6+5+3/8#

We can add the whole numbers and fractions separately.

#rArr1+5/6+5+3/8#

#=(1+5)+(5/6+3/8)to(color(red)(1))#

To add the fractions we require them to have a #color(blue)" common denominator"#

Obtain the #color(blue)"lowest common multiple"# (LCM) of 6 and 8

The LCM of 6 and 8 is 24#larrcolor(red)" common denominator"#

#rArr5/6+3/8=5/6xx4/4+3/8xx3/3#

#=20/24+9/24=29/24#

#"going back to " (color(red)(1))#

#1+5+29/24#

#=1+5+(1+5/24)#

#=1+5+1+5/24=7+5/24=7 5/24#

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