Question 104029
To find out how many teaspoons are needed, simply add all of the fractions together



{{{1/4+1/8+1/2}}} Start with the given expression


We need to get every denominator to the same number. So let's get every denominator to the LCM. So the LCM of 4, 8, and 12 is 24 (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)                                                                                                  


{{{(1/4)(6/6)+1/8+1/2}}} Multiply {{{1/4}}} by {{{6/6}}} this will get the denominator equal to 24




{{{6/24+1/8+1/2}}} Multiply 



{{{6/24+(3/3)(1/8)+1/2}}} Multiply {{{1/8}}} by {{{3/3}}} this will get the denominator equal to 24



{{{6/24+3/24+1/2}}} Multiply



{{{6/24+3/24+(12/12)(1/2)}}} Multiply {{{1/2}}} by {{{12/12}}} this will get the denominator equal to 24



{{{6/24+3/24+12/24}}} Multiply




Now that every denominator is equal to twelve, we can add the fractions



{{{(6+3+12)/24}}} Combine the fractions




{{{21/24}}} Combine the numerators



So {{{1/4+1/8+1/2=21/24}}}



So all three recipes need {{{21/24}}} teaspoon of vanilla