Question

for a school event, \\(\frac{1}{6}\\) of the athletic field is reserved for the fifth-grade classes. the reserved part of the field is divided equally among the 4 fifth-grade classes in the school. what fraction of the whole athletic field is reserved for each fifth-grade class? \\(\frac{2}{3}\\) \\(\frac{1}{10}\\) \\(\frac{1}{24}\\) \\(\frac{3}{2}\\)

Explanation:

Step1: Understand the problem

We need to find the fraction of the whole athletic field reserved for each fifth - grade class. We know that $\frac{1}{6}$ of the field is reserved for all fifth - grade classes, and this reserved part is divided equally among 4 classes.

Step2: Divide the reserved fraction by the number of classes

To find the fraction for each class, we divide the fraction of the field reserved for fifth - grade classes ($\frac{1}{6}$) by the number of fifth - grade classes (4). When dividing a fraction by a whole number, we can multiply the fraction by the reciprocal of the whole number. The reciprocal of 4 is $\frac{1}{4}$. So we calculate $\frac{1}{6}\times\frac{1}{4}$.

Step3: Multiply the fractions

When multiplying fractions, we multiply the numerators together and the denominators together. So $\frac{1\times1}{6\times4}=\frac{1}{24}$.

Answer:

$\frac{1}{24}$ (the option corresponding to $\frac{1}{24}$)