Question

topic: adding fractions and mixed numbers progress question id: 97268 the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer peter mixes 4\\(\frac{1}{4}\\) cups of orange juice, 2\\(\frac{1}{4}\\) cups of ginger ale, and 6\\(\frac{1}{3}\\) cups of strawberry lemonade to make some punch. what is the total number of cups of punch that peter makes? \\(\bigcirc\\) 12\\(\frac{1}{4}\\) \\(\bigcirc\\) 12\\(\frac{3}{11}\\) \\(\bigcirc\\) 12\\(\frac{5}{6}\\) \\(\bigcirc\\) 12\\(\frac{2}{5}\\)

Explanation:

Step1: Add whole numbers first

$4 + 2 + 6 = 12$

Step2: Add fractional parts

$\frac{1}{4} + \frac{1}{4} + \frac{1}{3}$

Step3: Simplify first two fractions

$\frac{1+1}{4} + \frac{1}{3} = \frac{2}{4} + \frac{1}{3} = \frac{1}{2} + \frac{1}{3}$

Step4: Find common denominator (6)

$\frac{1\times3}{2\times3} + \frac{1\times2}{3\times2} = \frac{3}{6} + \frac{2}{6}$

Step5: Add the converted fractions

$\frac{3+2}{6} = \frac{5}{6}$

Step6: Combine whole and fractional parts

$12 + \frac{5}{6} = 12\frac{5}{6}$

Answer:

$12\frac{5}{6}$ (Option C)