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Write mixed numbers as improper fractions and vice versa Objective Write mixed numbers as improper fractions and vice versa Example 3-3b

The sum of a whole number and a fraction Vocabulary Mixed number The sum of a whole number and a fraction Example 3-3b

Vocabulary Improper fraction A fraction that has a numerator that is greater than or equal to the denominator Example 3-3b

Example 1 Mixed Numbers as Improper Fractions Example 3 Improper Fractions as Mixed Numbers Lesson 3 Contents

Draw a model for Then write as an improper fraction. Write the mixed number Since the denominator is 8, draw a picture and divide into 8 pieces (rectangles are easier than circles) Divide the rectangle in half lengthwise Divide the rectangle in half by the width 1/3 Example 3-1a

Draw a model for Then write as an improper fraction. Divide the left half in half Divide the right half in half The whole number is 3 so make 2 more rectangles and divide in 8th’s Now shade each square showing 3 wholes We have 3 wholes now! 1/3 Example 3-1a

write improper fraction Draw a model for Then write as an improper fraction. write improper fraction Draw another rectangle and divide into 8 parts Since the numerator is 3, shade 3 sections Write as an improper fraction 1/3 Example 3-1a

write improper fraction Draw a model for Then write as an improper fraction. write improper fraction Multiply the whole number (3) times the denominator (8) Add the numerator (3) This is your new numerator for the improper fraction Keep the denominator of 8 3  8 + 3 3  8 27 Answer: 8 1/3 Example 3-1a

Draw a model for Then write as an improper fraction. Answer: 1/3 Example 3-1b

Multiply the whole number (2) times the denominator (5) ASTRONOMY If a spaceship lifts off the Moon, it must travel at a speed of kilometers per second in order to escape the pull of the Moon’s gravity. Write this speed as an improper fraction. Write the mixed number Multiply the whole number (2) times the denominator (5) 2  5 + 2 2  5 Add the numerator (2) 12 Keep the denominator 5 2/3 Example 3-2a

Add dimensional analysis ASTRONOMY If a spaceship lifts off the Moon, it must travel at a speed of kilometers per second in order to escape the pull of the Moon’s gravity. Write this speed as an improper fraction. Add dimensional analysis 2  5 + 2 2  5 12 Answer: kilometers per second 5 2/3 Example 3-2a

EXERCISE As part of a regular exercise program, Max walks miles each morning. Write this distance as an improper fraction. Answer: 2/3 Example 3-2b

Enter fraction key [a b/c] 23 a b/c 4 23 a b/c 23 Enter denominator 4 Write as a mixed number. Write mixed number Use calculator Enter numerator 23 Enter fraction key [a b/c] 23 a b/c 4 23 a b/c 23 Enter denominator 4 Answer: 3/3 Example 3-3a

* Write as a mixed number. Answer: 3/3 Example 3-3b

Mixed Numbers and Improper Assignment Lesson 5:3 Mixed Numbers and Improper 14 - 46 Even   Fractions End of Lesson 3