How to Convert an Improper Fraction to a Mixed Number: A Step-by-Step Guide
Learn how to convert improper fractions to mixed numbers with easy steps and examples.
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To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder is the new numerator over the original denominator. For example, 7/3 becomes 2 1/3 because 7 ÷ 3 is 2 with a remainder of 1. Remember to always simplify the fraction part if possible, ensuring it is in its simplest form. This helps make the fraction easier to understand and use in calculations.
FAQs & Answers
- What is a mixed fraction? A mixed fraction, or mixed number, is a combination of a whole number and a proper fraction, such as 2 1/3.
- How do I convert an improper fraction to a mixed number? To convert an improper fraction, divide the numerator by the denominator. The whole number is the quotient, and the remainder forms the new numerator over the original denominator.
- Why is it important to simplify fractions? Simplifying fractions makes them easier to read and use in calculations, ensuring clarity and precision in mathematical operations.
- Can mixed fractions be converted back to improper fractions? Yes, a mixed fraction can be converted back to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing the result over the original denominator.