How do you solve #\frac { 3} { x } + \frac { 5} { 4x } = \frac { 17} { 16}#?

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Answer 1 · 2017-07-01T06:02:05

#x=4#

#3/x+5/(4x)=17/16#

Multiply all terms by the LCM of the denominators, #16x#.

#16x xx3/x+16x xx5/(4x)=17/16xx16x#

#16cancelx xx3/(1cancelx)+4cancel(16x) xx5/(1cancel(4x))=17/(1cancel16)xx1cancel16x#

#16xx3+4xx5=17x#

#48+20=17x#

#68=17x#

Divide both sides by #17#.

#68/17=(17x)/17#

#(4cancel68)/(1cancel17)=(1cancel17x)/(1cancel17)#

#4=x# or #x=4#