what is the ratio if I would spend 20 hrs on assignments and studying and 25 hrs watching television

1. Break Down the Problem

We need to find the ratio of the time spent on assignments and studying to the time spent watching television.

2. Relevant Concepts

A ratio compares two quantities, showing how many times one value contains or is contained within the other. It is expressed as: $\text{Ratio} = \frac{\text{Time spent on assignments and studying}}{\text{Time spent watching television}}$

3. Analysis and Detail

Let:

• Time spent on assignments and studying = 20 hours
• Time spent watching television = 25 hours

Now, we can express the ratio as follows: $\text{Ratio} = \frac{20 \text{ hrs}}{25 \text{ hrs}}$

4. Verify and Summarize

To simplify this ratio, we divide both the numerator and the denominator by their greatest common divisor (GCD), which is 5:

$\text{Ratio} = \frac{20 \div 5}{25 \div 5} = \frac{4}{5}$

Final Answer

The ratio of time spent on assignments and studying to time spent watching television is $\frac{4}{5}$.