55 Lesson 2 Percents And Fractions Page 107 Answer Key
Introduction
Understanding percents and fractions is an essential skill in mathematics. In lesson 2, we will explore the concepts and applications of percents and fractions, focusing specifically on page 107 of the answer key. This article will serve as a comprehensive guide to help you navigate through the exercises and provide you with a clear understanding of the solutions. Let's dive in!
What are percents?
Percents are a way of expressing a fraction or a decimal as a portion of 100. They are denoted by the "%" symbol. For example, 50% is equivalent to 50 out of 100, or 0.5 as a decimal. Percents are commonly used in everyday life, such as calculating discounts, interest rates, or understanding probabilities.
What are fractions?
Fractions, on the other hand, represent a part of a whole. They consist of a numerator and a denominator, separated by a fraction bar. The numerator represents the number of parts we have, while the denominator represents the total number of equal parts in the whole. For example, in the fraction 3/4, 3 is the numerator, and 4 is the denominator.
Understanding the exercises
Exercise 1: Converting fractions to percents
In this exercise, you will be asked to convert fractions to percents. To do this, you need to divide the numerator by the denominator and multiply the result by 100. For example, if you have the fraction 3/4, divide 3 by 4 to get 0.75, and then multiply by 100 to get 75%. The answer key on page 107 will provide you with the correct solutions for each fraction given in the exercise.
Exercise 2: Converting percents to fractions
This exercise requires you to convert percents to fractions. To do this, you need to divide the percent by 100 and simplify the resulting fraction. For example, if you have 75%, divide 75 by 100 to get 0.75. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor. The answer key on page 107 will provide you with the simplified fractions for each percent in the exercise.
Exercise 3: Finding the percent of a number
In this exercise, you will learn how to find the percent of a given number. To do this, multiply the number by the percent and divide the result by 100. For example, if you want to find 20% of 80, multiply 80 by 20 and divide the result by 100 to get 16. The answer key on page 107 will provide you with the correct solutions for each problem in this exercise.
Exercise 4: Finding the whole when given a part and percent
This exercise involves finding the whole when given a part and percent. To do this, divide the part by the percent and multiply the result by 100. For example, if you have 25% of a number that equals 50, divide 50 by 25 and multiply the result by 100 to find that the whole number is 200. The answer key on page 107 will provide you with the correct solutions for each problem in this exercise.
Exercise 5: Solving word problems involving percents and fractions
Word problems can be challenging, but with the concepts and skills you have learned in the previous exercises, you will be able to tackle them effectively. This exercise will present you with various word problems that involve percents and fractions. The answer key on page 107 will provide you with step-by-step solutions and explanations to help you solve these word problems.
Tips for success
Tip 1: Review the basic concepts
Before attempting the exercises on page 107, it is essential to review the basic concepts of percents and fractions. Make sure you understand how to convert between fractions and percents, find the percent of a number, and solve word problems. This foundation will help you approach the exercises with confidence.
Tip 2: Practice with similar problems
To reinforce your understanding of percents and fractions, it is crucial to practice with similar problems. Look for additional exercises or create your own to further develop your skills. The more you practice, the more comfortable you will become with the concepts.
Tip 3: Seek clarification if needed
If you encounter any difficulties or have questions while working through the exercises on page 107, don't hesitate to seek clarification. Talk to your teacher or classmates, or utilize online resources to gain a deeper understanding of the concepts.
Tip 4: Check your answers
Once you have completed the exercises, it is essential to check your answers using the answer key on page 107. Compare your solutions with the provided solutions to identify any mistakes and learn from them. This step will help you improve your accuracy and reinforce your understanding of the concepts.
Conclusion
Lesson 2 on percents and fractions, specifically page 107 of the answer key, is a valuable resource for mastering these fundamental mathematical concepts. By understanding the exercises and utilizing the provided solutions, you can enhance your skills and develop a strong foundation in percents and fractions. Remember to review the basic concepts, practice regularly, seek clarification when needed, and check your answers to ensure accuracy. With dedication and perseverance, you will excel in percents and fractions. Happy learning!