Question

1. modeling real life your tablet battery is fully charged. you use \\(\frac{32}{100}\\) of the charge listening to music, and \\(\frac{13}{100}\\) of the charge playing games. what fraction of the charge remains on your tablet battery?

Explanation:

Step1: Find total used charge

To find the total fraction of the charge used, we add the fractions used for listening to music and playing games. Since both fractions have the same denominator (100), we add the numerators.
The fraction used for music is $\frac{32}{100}$ and for games is $\frac{13}{100}$. So total used charge is $\frac{32}{100}+\frac{13}{100}=\frac{32 + 13}{100}=\frac{45}{100}$.

Step2: Find remaining charge

The battery is fully charged, which we consider as 1 (or $\frac{100}{100}$). To find the remaining charge, we subtract the total used charge from 1.
So remaining charge is $1-\frac{45}{100}=\frac{100}{100}-\frac{45}{100}=\frac{100 - 45}{100}=\frac{55}{100}$. We can simplify this fraction by dividing numerator and denominator by 5: $\frac{55\div5}{100\div5}=\frac{11}{20}$.

Answer:

$\frac{11}{20}$ (or $\frac{55}{100}$)