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At Polk College, 1/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 5/8 are enrolled in a painting class. What fraction of the students at Polk College are enrolled in a painting class?

Question

At Polk College, 1/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 5/8 are enrolled in a painting class. What fraction of the students at Polk College are enrolled in a painting class?

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Solution

Sure, let's break it down step by step.

  1. First, determine the fraction of students enrolled in an art class. This is given as 14 \frac{1}{4} .

  2. Next, find the fraction of art students who are enrolled in a painting class. This is given as 58 \frac{5}{8} .

  3. To find the fraction of the total students who are enrolled in a painting class, multiply the fraction of students in an art class by the fraction of art students in a painting class: 14×58 \frac{1}{4} \times \frac{5}{8}

  4. Perform the multiplication: 1×54×8=532 \frac{1 \times 5}{4 \times 8} = \frac{5}{32}

So, 532 \frac{5}{32} of the students at Polk College are enrolled in a painting class.

This problem has been solved

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