# Exercises to Reinforce Your Understanding of Ratios to Percents and Vice Versa

Welcome to our practice exercise page, designed to reinforce your understanding of converting ratios to percents and vice versa. These exercises are part of our 'Ratios in Percents' section. Let's dive in!

## Warm-Up Exercises

Let's start with some simple conversions. Try to convert the following ratios to percentages and vice versa:

- Convert the ratio 2:3 to a percent.
- Convert the percent 60% to a ratio.

## Detailed Solutions

Here's how we solve the warm-up exercises:

- Convert the ratio 2:3 to a percent.
- Convert the percent 60% to a ratio.

Step 2: Convert the fraction to a decimal: 2 ÷ 3 = 0.6667 (approx)

Step 3: Convert the decimal to a percent: 0.6667 × 100 = 66.67% (approx)

Step 2: Convert the decimal to a fraction: 0.6 = 3/5

Step 3: Convert the fraction to a ratio: 3:5

## Intermediate Exercises

Now, let's tackle some more challenging conversions. Remember, you can always refer to the previous tutorial if you need a refresher:

- Convert the ratio 7:8 to a percent.
- Convert the percent 37.5% to a ratio.

## Detailed Solutions

Here's how we solve the intermediate exercises:

- Convert the ratio 7:8 to a percent.
- Convert the percent 37.5% to a ratio.

Step 2: Convert the fraction to a decimal: 7 ÷ 8 = 0.875

Step 3: Convert the decimal to a percent: 0.875 × 100 = 87.5%

Step 2: Convert the decimal to a fraction: 0.375 = 3/8

Step 3: Convert the fraction to a ratio: 3:8

## Conclusion

Practicing conversion between ratios and percentages is crucial to solidify your understanding. Regularly solve such exercises, and soon these conversions will become second nature to you. Keep learning and practicing with our 'Ratios in Percents' section!

## Ratios in Percents Tutorials

If you found this ratio information useful then you will likely enjoy the other ratio lessons and tutorials in this section:

- Understanding Percents
- How to Convert Ratios to Percents and Vice Versa
- Exercises to Reinforce Your Understanding

**Next:** Ratios and Rates