Question

you have \\(1\frac{7}{8}\\) pounds of jelly beans and you want to divide them evenly among 6 children.

evaluate the following expression to determine how much each child gets:

\\1\frac{7}{8} \div 6\\

a.) \\(\frac{5}{16}\\) pound

b.) \\(\frac{2}{3}\\) pound

c.) \\(\frac{7}{18}\\) pound

Explanation:

Convert the mixed number to an improper fraction

$$ 1\frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{15}{8} $$

Divide the improper fraction by the integer

$$ \frac{15}{8} \div 6 = \frac{15}{8} \times \frac{1}{6} = \frac{15}{48} $$

Simplify the resulting fraction

$$ \frac{15 \div 3}{48 \div 3} = \frac{5}{16} $$

Answer:

• a.) \(\frac{5}{16}\) pound (Correct answer)
• b.) \(\frac{2}{3}\) pound
• c.) \(\frac{7}{18}\) pound