1. advance reading about adding and subtraction similar fractions. 2.How to change fraction to lowest term or semplify fraction
Answer (1)
Answer:Sure, let's dive into these topics!### 1. Adding and Subtracting Similar Fractions**Similar Fractions** are fractions that have the same denominator. When adding or subtracting similar fractions, the process is straightforward. Here’s how you do it:**Addition:**1. **Ensure Denominators Are the Same:** For similar fractions, the denominators are already the same.2. **Add the Numerators:** Simply add the top numbers (numerators) together while keeping the denominator the same. - For example: \(\frac{2}{7} + \frac{3}{7}\) - Add the numerators: \(2 + 3 = 5\) - The denominator stays the same: \(7\) - So, \(\frac{2}{7} + \frac{3}{7} = \frac{5}{7}\)**Subtraction:**1. **Ensure Denominators Are the Same:** Similar fractions have the same denominator.2. **Subtract the Numerators:** Subtract the top numbers (numerators) while keeping the denominator unchanged. - For example: \(\frac{5}{8} - \frac{2}{8}\) - Subtract the numerators: \(5 - 2 = 3\) - The denominator remains the same: \(8\) - So, \(\frac{5}{8} - \frac{2}{8} = \frac{3}{8}\)### 2. Simplifying Fractions (Reducing to Lowest Terms)To simplify a fraction, you need to reduce it to its lowest terms, which means the numerator and denominator have no common factors other than 1.**Steps to Simplify:**1. **Find the Greatest Common Divisor (GCD):** Determine the largest number that divides both the numerator and the denominator evenly. This can be done using methods like listing out the factors, using the Euclidean algorithm, or prime factorization.2. **Divide Both Numerator and Denominator by the GCD:** This reduces the fraction to its simplest form.**Example:**Simplify \(\frac{18}{24}\):1. **Find the GCD of 18 and 24:** The factors of 18 are 1, 2, 3, 6, 9, 18; the factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. The common factors are 1, 2, 3, 6, so the GCD is 6.2. **Divide both the numerator and the denominator by the GCD (6):** - Numerator: \(18 \div 6 = 3\) - Denominator: \(24 \div 6 = 4\) - So, \(\frac{18}{24} = \frac{3}{4}\)**Note:** Fractions where the numerator and denominator are prime to each other (i.e., their GCD is 1) are already in their simplest form.### Summary- For adding and subtracting similar fractions, combine the numerators and keep the denominator the same.- To simplify fractions, divide the numerator and denominator by their greatest common divisor.If you have any more questions or need further clarification, feel free to ask!Step-by-step explanation:
