Question 906199
3/8÷1/10+3/5×1/6
Believing that I know what you want, and using a fraction bar in place of the division
symbol and using a "dot" in place of the multiplication X symbol:
(3/8)/(1/10)+(3/5)*(1/6)
As rendered on the site,
Your Fraction Expression,{{{highlight_green((3/8)/(1/10)+(3/5)*(1/6))}}};


{{{(3/8)(10/1)+(3/5)(1/6)}}}, dividing by fraction is same as multplying by reciprocal;


{{{(3*10)/(8)+(3)/(5*6)}}}, Multiplication gets precedence over addition; multiply the numerators for each numerator
and multiply denominators for each denominator;


{{{(3*5)/4+1/(5*2)}}}, reduce fractions as part of simplification, in this case, removing redundant factors of 1;


BUT....


{{{15/4+1/10}}}, lowest common denominator here is 20, so...


{{{(15/4)(5/5)+(1/10)(2/2)}}}, adjust each fraction term to its equivalent having denominator 20;


{{{(75+2)/20}}}


{{{77/20}}}


{{{highlight(3&17/20)}}}  Simplified as a mixed number



Showing more steps in your own work is perfectly acceptable if it helps you to compute more
comfortably and reliably.