Question 190880
If we look at {{{(a+b)/b=(c+d)/d}}}, we can see that it breaks down to {{{a/b+b/b=c/d+d/d}}} and simplifies to {{{a/b+1=c/d+1}}}. So to reverse this, we must add 1 to both sides of {{{a/b=c/d}}} and combine the terms. Note: we must start with what we are given to find the unknown (so we must start with the equation {{{a/b=c/d}}}).





{{{a/b=c/d}}} Start with the given equation



{{{a/b+1=c/d+1}}} Add 1 to both sides. 



{{{a/b+b/b=c/d+1}}} Multiply the first "1" by {{{b/b}}} (to make the denominators on the left side equal). 



{{{a/b+b/b=c/d+d/d}}} Multiply the second "1" by {{{d/d}}} (to make the denominators on the right side equal). 



{{{(a+b)/b=(c+d)/d}}} Combine the fractions