Question

about \\(\frac{1}{6}\\) of a fruit punch is pineapple juice. about \\(\frac{1}{4}\\) of the punch is orange juice. write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice.

select the correct equation below, and fill in the answer box to complete your choice.
(type a whole number or a fraction.)
\\(\circ\\) a. \\(\frac{1}{6} - \frac{1}{4} = \square\\) \\(\circ\\) b. \\(\frac{1}{6} + \frac{1}{4} = \square\\)
\\(\circ\\) c. \\(\frac{1}{6} \div \frac{1}{4} = \square\\) \\(\circ\\) d. \\(\frac{1}{6} \times \frac{1}{4} = \square\\)

Explanation:

Step1: Determine the operation

To find the fraction of the punch that is pineapple juice or orange juice, we need to add the fractions of pineapple juice and orange juice. So the correct equation is $\frac{1}{6} + \frac{1}{4}$.

Step2: Find a common denominator

The least common denominator of 6 and 4 is 12. Convert the fractions: $\frac{1}{6} = \frac{2}{12}$ and $\frac{1}{4} = \frac{3}{12}$.

Step3: Add the fractions

Add the converted fractions: $\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$.

Answer:

B. $\frac{1}{6} + \frac{1}{4} = \frac{5}{12}$