Question 207029
{{{(5/8)/(15/16)+1/2}}} Start with the given expression.



{{{(5/8)*(16/15)+1/2}}} Multiply the first fraction by the reciprocal of the second fraction.



{{{(5/8)*((8*2)/(5*3))+1/2}}} Factor



{{{(cross(5)/cross(8))*((cross(8)*2)/(cross(5)*3))+1/2}}} Cancel out the common terms.



{{{2/3+1/2}}} Simplify



{{{4/6+1/2}}} Multiply the first fraction by {{{2/2}}}



{{{4/6+3/6}}} Multiply the second fraction by {{{3/3}}}



Since the denominators are equal, we can now add the fractions.



{{{(4+3)/6}}} Combine the fractions by adding the numerators over the LCD.



{{{7/6}}} Add



So {{{(5/8)/(15/16)+1/2=7/6}}}