Question

on thursday, abram asked several students to name their favorite class. he found that 32% of the students liked science class best and another \\(\frac{1}{2}\\) of the students liked social studies class best. what fraction of the students liked either science or social studies classes best? a \\(\frac{41}{50}\\) b \\(\frac{5}{32}\\) c \\(\frac{1}{16}\\) d \\(\frac{27}{32}\\)

Explanation:

Step1: Convert percentage to fraction

Convert \(32\%\) to a fraction. \(32\%=\frac{32}{100}=\frac{8}{25}\).

Step2: Find a common denominator

Find a common denominator for \(\frac{8}{25}\) and \(\frac{1}{2}\). The least common multiple of \(25\) and \(2\) is \(50\).
\(\frac{8}{25}=\frac{8\times2}{25\times2}=\frac{16}{50}\), \(\frac{1}{2}=\frac{1\times25}{2\times25}=\frac{25}{50}\)

Step3: Add the fractions

Add the two fractions: \(\frac{16}{50}+\frac{25}{50}=\frac{16 + 25}{50}=\frac{41}{50}\)

Answer:

A. \(\frac{41}{50}\)