How to Solve Multiple Fractions: A Step-by-Step Guide
Master the method of solving multiple fractions with our clear, concise steps. Learn to simplify calculations efficiently.
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Solving multiple fractions involves finding a common denominator, usually the least common multiple (LCM) of the denominators. Convert all fractions to have this common denominator, then simply add or subtract the numerators. For multiplication, multiply the numerators together and the denominators together. For division, invert (flip) the second fraction and multiply. Finally, simplify if necessary by dividing the numerator and the denominator by their greatest common divisor (GCD). This method ensures accurate and efficient fraction calculations.
FAQs & Answers
- What is the least common multiple (LCM) and why is it important for fractions? The least common multiple (LCM) is the smallest multiple that is shared by two or more numbers. It is important for fractions because it allows you to find a common denominator, which is essential for adding or subtracting fractions accurately.
- How do you add or subtract fractions with different denominators? To add or subtract fractions with different denominators, first find the least common multiple (LCM) of the denominators to establish a common denominator. Convert each fraction to this common denominator and then add or subtract the numerators accordingly.
- What steps do I follow to multiply fractions? To multiply fractions, simply multiply the numerators together to get a new numerator and multiply the denominators together to get a new denominator. Then, simplify the resulting fraction if possible.
- How do you divide one fraction by another? To divide one fraction by another, you invert (flip) the second fraction and then multiply it by the first fraction. Simplify the resulting fraction if necessary.