# Ratios and Fractions Practice Exercises

Welcome to our practice exercise module for ratios and fractions. This is your chance to apply what you've learned about these essential mathematical concepts. Inspired by the works of renowned mathematicians, these exercises will challenge your thinking and improve your understanding.

## Exercise 1: Ratios in Recipes

Consider a recipe that uses a ratio of 2:3 of sugar to flour. If you have 8 cups of sugar, how much flour do you need?

## Exercise 2: Fractions in Shopping

If a pair of shoes is discounted by 1/4 off the original price of $80, how much will the shoes cost after the discount?

## Exercise 3: Ratios in Finance

If your monthly income is $3000, and you spend $1800 on expenses, what is your income to expense ratio?

## Exercise 4: Fractions in Time Management

If you spend 1/4 of your day sleeping, how many hours do you spend sleeping?

## Exercise 5: Euclid's Ratio

Euclid's algorithm for finding the greatest common divisor (GCD) is an essential technique in mathematics. Find the GCD of 56 and 98 using Euclid's algorithm.

## Exercise 6: Golden Ratio in Art

Consider a rectangle where the ratio of the longer side to the shorter side is the Golden Ratio (approximately 1.618). If the shorter side is 5 cm, what is the length of the longer side?

## Exercise 7: Fractions in Music

If a song is divided into 8 equal parts, how long is each part if the whole song is 4 minutes long?

## Exercise 8: Ratios in Photography

Consider a photo with an aspect ratio of 4:3. If the height of the photo is 600 pixels, what is the width?

## Exercise 9: Fractions in Sports

A basketball player makes 7 out of 10 free throw attempts. What fraction represents the player's success rate?

## Conclusion

Practicing these exercises will strengthen your understanding and application of ratios and fractions. It's fascinating to see how these concepts apply across various facets of life and academia. Keep practicing and exploring, and you'll continue to uncover the beauty of mathematics in everyday life.

## Ratios and Fractions Tutorials

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

- What are Fractions?
- Connection between Ratios and Fraction
- How to Convert Ratios to Fractions and vice versa
- Applications of Ratios and Fractions in Everyday Life
- Practice Exercises

**Next:** Ratios and Proportions