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Name Practice 6-3 Improper Fractions and Mixed Numbers 1. Draw a picture to show _97 . 2. Draw a picture to show 3_45. Check students’ drawings. Write each improper fraction as a whole number or mixed number in simplest form. 5 25 3. __ 5 5_29 47 4. __ 9 52 5. __ 7 Write each mixed number as an improper fraction. __ 55 7. 13_34 5 8. 9_58 4 __ 77 Practice 6-3 __ 24 6. 4_45 7_37 8 __ 32 9. Reasoning Write 8 as an improper fraction with a denominator of 4. 4 Which letter on the number line corresponds to each number? F 4 10. 5_25 A C D B 5 7 11. 4__ 10 D E C 6 23 12. __ 5 A 13. Which number does the picture show? 12 A __ 8 B 2_18 C 2_14 20 D __ 8 © Pearson Education, Inc. 6 14. Writing to Explain Can you express _99 as a mixed number? Why or why not? No, _99 can be expressed only as a fraction or as a whole number (1). Topic 6 35 Name Reteaching 6-3 Improper Fractions and Mixed Numbers A mixed number combines a whole number with a fraction. It is greater than one. An improper fraction has a numerator that is larger than its denominator. How to Write an Improper Fraction as a Mixed Number The quotient is the whole number in the mixed number. 2 2 5 2 5 12 10 2 The remainder is the numerator. The denominator stays the same. Multiply the denominator by the whole number. 3 2 5 5 3 15 Then add the numerator. 15 2 17 17 5 Write this number for the numerator. Use the original denominator. 3 2 12 2 5 5 2 17 5 5 1. Draw a picture to show 4_23. Write each improper fraction as a whole number or mixed number in simplest form. 60 2. __ 40 1_12 3 3__ 10 30422_T08_8-3RT1 33 3. __ 10 12 4. __ 7 Write each mixed number as an improper fraction. 5. 4_13 __ 13 3 20 6. 1__ 50 __ 70 50 8. Reasoning Write 6 as an improper fraction with a denominator of 10. 30422_T08_8-3RT-1a 34 Topic 6 7. 8_78 1_57 __ 71 8 __ 60 10 © Pearson Education, Inc. 6 Reteaching 6-3 12 Write 5 as a mixed number. Divide the numerator by the denominator. How to Write a Mixed Number as an Improper Fraction