Lesson 2 percents and fractions page 107 answer key – Welcome to the definitive guide to Lesson 2: Percents and Fractions Page 107 Answer Key. This comprehensive resource delves into the intricacies of converting between percents and fractions, simplifying fractions, and performing operations with unlike denominators. Through clear explanations, real-world examples, and a captivating writing style, this guide empowers you to conquer the complexities of fractions and excel in your mathematical endeavors.
Prepare to embark on a journey of mathematical exploration as we unravel the secrets of fractions and percents, equipping you with the knowledge and skills to tackle any fraction-related challenge with confidence.
Percents and Fractions: Lesson 2 Percents And Fractions Page 107 Answer Key
Percents and fractions are two ways of representing parts of a whole. They are used in many different fields, including mathematics, science, and everyday life.
Percent and Fraction Conversion, Lesson 2 percents and fractions page 107 answer key
A percent is a ratio that compares a part to a whole, expressed as a fraction of 100. A fraction is a ratio that compares a part to a whole, expressed as a quotient of two numbers.
To convert a percent to a fraction, divide the percent by 100. For example, 50% = 50/100 = 1/2.
To convert a fraction to a percent, multiply the fraction by 100. For example, 1/2 = 1/2 – 100 = 50%.
Simplifying Fractions
Simplifying a fraction means reducing it to its lowest terms. To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).
For example, to simplify the fraction 12/18, divide both the numerator and denominator by 6, the GCF of 12 and 18. This gives the simplified fraction 2/3.
Adding and Subtracting Fractions with Unlike Denominators
To add or subtract fractions with unlike denominators, first find a common denominator. A common denominator is a multiple of both denominators.
For example, to add the fractions 1/2 and 1/3, the common denominator is 6. To find the common denominator, multiply the numerator and denominator of each fraction by the other denominator. This gives the fractions 3/6 and 2/6.
Once you have found the common denominator, add or subtract the numerators and keep the denominator. For example, to add 1/2 and 1/3, add the numerators to get 3/6 + 2/6 = 5/6.
Multiplying and Dividing Fractions
To multiply fractions, multiply the numerators and multiply the denominators. For example, to multiply the fractions 1/2 and 1/3, multiply the numerators to get 1 – 1 = 1 and multiply the denominators to get 2 – 3 = 6. This gives the product 1/6.
To divide fractions, invert the second fraction and multiply. For example, to divide the fraction 1/2 by the fraction 1/3, invert the second fraction to get 3/1 and multiply. This gives the quotient 1/2 – 3/1 = 3/2.
Real-World Applications of Percents and Fractions
Percents and fractions are used in many different real-world situations. For example, percents are used to calculate discounts, interest rates, and sales tax. Fractions are used to measure ingredients in recipes, calculate distances, and divide up money.
Helpful Answers
What is the purpose of converting between percents and fractions?
Converting between percents and fractions allows us to represent the same value in different forms, making it easier to perform calculations and compare quantities.
How do I simplify a fraction?
To simplify a fraction, divide both the numerator and denominator by their greatest common factor (GCF).
What is the process for adding or subtracting fractions with unlike denominators?
To add or subtract fractions with unlike denominators, first find a common denominator, which is the least common multiple (LCM) of the denominators. Then, rewrite each fraction with the common denominator and perform the operation.
