Question

1. communicate and justify sixty percent of the students in zachary’s class ride their bikes to school. zachary says that \\(\frac{6}{10}\\) of the students ride their bikes to school. is he correct? explain.
2. nancy recorded 8 movies on her dvr. she watched 5 of the movies. what percent of the movies did nancy watch?

Explanation:

Step1: Convert 60% to fraction

$60\% = \frac{60}{100} = \frac{3}{5}$

Step2: Simplify Zachary's fraction

$\frac{6}{10} = \frac{3}{5}$

Step3: Compare both values

$\frac{3}{5} = \frac{3}{5}$

Step4: Calculate Nancy's watched percentage

$\text{Percentage} = \frac{\text{Watched movies}}{\text{Total movies}} \times 100 = \frac{5}{8} \times 100$
$\frac{5}{8} \times 100 = 62.5$

Answer:

1. Zachary is correct, because 60% is equivalent to $\frac{3}{5}$, and $\frac{6}{10}$ simplifies to $\frac{3}{5}$, so both represent the same proportion of students.
2. Nancy watched 62.5% of the movies.