How do you add #\frac { 2} { 5} + \frac { 8} { 3} + \frac { - 11} { 15} + \frac { 4} { 5} + \frac { - 2} { 3}#?

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Answer 1 · 2017-07-15T19:53:25

See a solution process below:

To add fractions they must be over a common denominator. For this problem the lowest common denominator is #15#.

We need to multiply each fraction by the appropriate form of #1# to convert it to the LCD (Lowest Common Denominator) of #15#

#(3/3 xx 2/5) + (5/5 xx 8/3) + (-11)/15 + (3/3 xx 4/5) + (5/5 xx (-2)/3) =>#

#6/15 + 40/15 + (-11)/15 + 12/15 + (-10)/15#

We can now add the numerators over the common denominator:

#(6 + 40 + (-11) + 12 + (-10))/15 =>#

#(6 + 40 - 11 + 12 - 10)/15 =>#

#(46 - 11 + 12 - 10)/15 =>#

#(35 + 12 - 10)/15 =>#

#(47 - 10)/15 =>#

#37/15#