Question

1. one hundred sixty cell phone owners were surveyed.

a. what fraction of owners prefers using their cell phone for
text messaging or playing games? explain.
b. what fraction of owners prefers using their phone to take
pictures or text message?

Explanation:

Step1: Find the fraction for part a

From the pie - chart, the fraction for using the cell phone for text messaging or playing games is the sum of the fractions for text messaging and playing games. The fraction for text messaging is \(\frac{3}{8}\) and for playing games is \(\frac{1}{4}\). First, rewrite \(\frac{1}{4}\) with a denominator of 8: \(\frac{1}{4}=\frac{1\times2}{4\times2}=\frac{2}{8}\). Then add the two fractions: \(\frac{3}{8}+\frac{2}{8}=\frac{3 + 2}{8}=\frac{5}{8}\).

Step2: Find the fraction for part b

The fraction for using the phone to take pictures or text message is the sum of the fractions for taking pictures and text messaging. The fraction for taking pictures is \(\frac{3}{8}\) and for text messaging is \(\frac{3}{8}\). Add them: \(\frac{3}{8}+\frac{3}{8}=\frac{3+3}{8}=\frac{6}{8}=\frac{3}{4}\) (by simplifying \(\frac{6}{8}\) by dividing numerator and denominator by 2).

Answer:

a. \(\frac{5}{8}\)
b. \(\frac{3}{4}\)