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Rational Numbers & Equations

Lesson 2. Rational Numbers & Equations. Mixed Numbers and Improper Fractions. Warm-Up. Write each fraction in simplest form. Mixed Numbers and Improper Fractions. Targets: Write mixed numbers as improper fractions. Write improper fractions as mixed numbers. Vocabulary.

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Rational Numbers & Equations

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  1. Lesson 2 Rational Numbers & Equations Mixed Numbers and Improper Fractions

  2. Warm-Up Write each fraction in simplest form.

  3. Mixed Numbers and Improper Fractions Targets: Write mixed numbers as improper fractions.Write improper fractions as mixed numbers.

  4. Vocabulary • Mixed Number: The sum of a whole number and a fraction less than 1. • Improper Fraction: A fraction with a numerator that is greater than or equal to its denominator.

  5. Rewriting Mixed Numbers as Improper Fractions • Multiply the whole number by the denominator. • Add the numerator to the product. • Write this number as the numerator and keep the original denominator as the denominator of the improper fraction.

  6. Rewriting Improper Fractions as Mixed Numbers • Divide the numerator by the denominator. The quotient is the whole number in the mixed number. • Write the remainder as the numerator over the original denominator. This is the fraction in the mixed number.

  7. Example 1 Write as an improper fraction. • Multiply the whole number by the denominator.5(6) = 30 • Add the numerator to the product.1 + 30 = 31 • Put the total over the original denominator:

  8. Example 2 Write as a mixed number. • Divide the numerator by the denominator. • Write the mixed number:

  9. Exit Problems Write each mixed number as an improper fraction. Write each improper fraction as a mixed number.

  10. Communication Prompt What is the process for converting a mixed number to an improper fraction?

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