SOLUTION: One recipe calls for 1/4 teaspoon vanilla. A second recipe requires for 1/8 teaspoon vanilla flour, and a third recipe calls for 1/2 teaspoon vanilla. How much vanilla is requir

Question 104029: One recipe calls for 1/4 teaspoon vanilla. A second recipe requires for 1/8 teaspoon vanilla flour, and a third recipe calls for 1/2 teaspoon vanilla. How much vanilla is required to make all three recipes? Help.
Found 2 solutions by jim_thompson5910, TP:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find out how many teaspoons are needed, simply add all of the fractions together

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 solver)

Multiply by this will get the denominator equal to 24

Multiply

Multiply by this will get the denominator equal to 24

Multiply

Multiply by this will get the denominator equal to 24

Multiply

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

Combine the fractions

Combine the numerators

So

So all three recipes need teaspoon of vanilla
Answer by TP(29) (Show Source): You can put this solution on YOUR website!
You need to work out 1/4+1/8+1/2.
The bottom numbers of the fractions (the DENOMINATORS) are 2,4 and 8 and they have an LCM (Lowest Common Multiple or the smallest number that is in EACH of the times tables of 2,4 and 8) of 8.
Since the LCM is 8 change your fractions to eighths and then you can add them together.
1/4 = 2/8 ( 1/4= 1/4*(2/2)= (1*2)/4*2)=2/8 ).
1/8=1/8 (no change needed )
and 1/2 =4/8 ( 1/2=1/2*(4/4)= (1*4)/(2*4)=4/8 ).
So 1/4+1/8+1/2 = (2/8)+(1/8)+(4/8) = 7/8.
And so 7/8ths of a teaspoon are needed.ANS
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