Question 442989
I guess you have this:

{{{(4/11)a+(13/22)a+1/3=11/16}}}.....common denominator for 11,22, and 3 is 66


{{{(4*6/11*6)a+(13*3/22*3)a+1*22/3*22=11/16}}}


{{{(24/66)a+(39/66)a+22/66=11/16}}}


{{{(24a+39a+22)/66=11/16}}}


{{{(63a+22)/66=11/16}}}....cross multiply


{{{16(63a+22)=11*66}}}


{{{16(63a+22)=726}}}


{{{63a+22=726/16}}}


{{{63a+22=45.375}}}


{{{63a=45.375-22}}}


{{{63a=23.375}}}


{{{a=23.375/63}}}


{{{a=0.371}}}


check:

{{{(4/11)0.371+(13/22)0.371+1/3=11/16}}}

{{{(0.364)0.371+(0.591)0.371+0.333=0.69}}}

{{{0.14+0.22+0.33=0.69}}}

{{{0.36+0.33=0.69}}}

{{{0.69=0.69}}}