Mixed Numbers & Improper Fractions

Mixed Numbers & Improper Fractions Essential Question: How can I convert improper fractions to mixed numbers and mixed numbers into improper fractions? Common Core Obj./Student Friendly Terms: (6.NS.1) Students will be able to convert improper fractions to mixed numbers and mixed numbers to improper fractions with at least 80% accuracy.

Mixed Numbers & Improper Fractions Vocabulary: Mixed Number – a number containing a fraction and whole number. Improper Fraction – a fraction with a numerator that is larger than the denominator. Proper Fraction – a fraction with a numerator that is smaller than the denominator.

Mixed Numbers & Improper Fractions To change an IMPROPER FRACTION to a MIXED NUMBER use LONG DIVISION

Mixed Numbers & Improper Fractions To change a MIXED NUMBER to an IMPROPER FRACTION use THE MAD CIRCLE

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 Use LONG DIVISION to change each improper fraction to a mixed number.

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 21 4

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 21 5 4 4 21 20 1

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 21 5 4 4 21 5 1 20 The denominator stays the same 4 1 The remainder becomes the numerator

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 20 3

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 20 6 3 3 20 18 2

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 20 6 3 3 20 6 2 18 The denominator stays the same 3 2 The remainder becomes the numerator

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 32 8

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 32 4 8 8 32 32

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 32 4 4 8 8 32 8 32 The denominator stays the same The remainder becomes the numerator

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 1: Write each improper fraction as a mixed number and simplify: a) 21/4 b) 20/3 c) 32/8 When 0 as numerator get rid of fraction 32 4 4 8 8 32 8 32 The denominator stays the same 4 The remainder becomes the numerator

Mixed Numbers & Improper Fractions Simplifying Improper Fractions Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4/5 b) 3 3/7 c) 1 4/5

Mixed Numbers & Improper Fractions Mixed Numbers to Improper Fractions Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4/5 b) 3 3/7 c) 1 4/5 Use THE MAD CIRCLE to change each mixed number to an improper fraction.

Mixed Numbers & Improper Fractions Mixed Numbers to Improper Fractions Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4/5 b) 3 3/7 c) 1 4/5 Product is Added to the Numerator + 10 4 5 x 10 + 4 54 = = 5 5 5 x Denominator Multiplied by the Whole Number

Mixed Numbers & Improper Fractions Mixed Numbers to Improper Fractions Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4/5 b) 3 3/7 c) 1 4/5 Product is Added to the Numerator + 3 3 7 x 3 + 3 24 = = 7 7 7 x Denominator Multiplied by the Whole Number

Mixed Numbers & Improper Fractions Mixed Numbers to Improper Fractions Example 2: Write each mixed number as an improper fraction and simplify: a) 10 4/5 b) 3 3/7 c) 1 4/5 Product is Added to the Numerator + 1 4 5 x 1 + 4 9 = = 5 5 5 x Denominator Multiplied by the Whole Number

Mixed Numbers & Improper Fractions Guided Practice Write each improper fraction as a mixed number and simplify: a) 51/5 b) 44/8 c) 27/6 Write each mixed number as an improper fraction: a) 4 3/4 b) 16 1/2 c) 7 5/8

Mixed Numbers & Improper Fractions Guided Practice Write each improper fraction as a mixed number and simplify: a) 51/5 b) 44/8 c) 27/6 a) 10 1/5 b) 5 1/2 c) 4 1/2 Write each mixed number as an improper fraction: a) 4 3/4 b) 16 1/2 c) 7 5/8 a) 19/4 b) 33/2 c) 61/8

Mixed Numbers & Improper Fractions Independent Practice Write each improper fraction as a mixed number and simplify: a) 48/3 b) 17/2 c) 27/8 Write each mixed number as an improper fraction: a) 6 1/4 b) 27 3/4 c) 9 1/3

Mixed Numbers & Improper Fractions Independent Practice Write each improper fraction as a mixed number and simplify: a) 48/3 b) 17/2 c) 27/8 a) 16 b) 8 1/2 c) 3 3/8 Write each mixed number as an improper fraction: a) 6 1/4 b) 27 3/4 c) 9 1/3 a) 25/4 b) 111/4 c) 28/3

Mixed Numbers & Improper Fractions Homework p. 184 #20-27, all