How do I simplify positive fractions with unlike denominators?
To simplify positive fractions with unlike denominators, you need to find a common denominator and then adjust the numerators accordingly. Here's a step-by-step guide to help you simplify fractions with unlike denominators:
1. Identify the denominators: Take note of the denominators of the fractions you want to simplify.
2. Find the least common multiple (LCM): Find the least common multiple of the denominators. This is the smallest number that both denominators divide evenly into.
3. Create equivalent fractions: For each fraction, multiply both the numerator and denominator by the same factor so that the denominator becomes the LCM found in the previous step. This will make the denominators of both fractions the same.
4. Simplify: Once the denominators are the same, write the fraction with the common denominator. Then, add or subtract the numerators depending on whether you're performing addition or subtraction.
5. Reduce the fraction (if necessary): If the numerator and denominator have a common factor, divide both the numerator and denominator by that factor to simplify the fraction further. Keep repeating this step until the fraction can no longer be reduced.
6. Finalize: Write the simplified fraction as your final answer.
By following these steps, you can simplify positive fractions with unlike denominators effectively.