Mixed Numbers and Improper Fractions

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Writing Improper Fractions as Mixed NumbersWords To write an improper fraction as a mixed number,divide the numerator by the denominator and write anyremainder as a fraction.Numbers 7 3 7 3 2 R1, or 2 1 3 EXAMPLE 2 Writing Mixed Numberswith ReviewNeed help with dividingwhole numbers?See p. 690.Write 2 3 as a mixed number.63 R5, or 3 5 6 62318 5ANSWER 2 3 5 3 6 6 You can write a remainderremainderas a fraction: d.enominatorYour turn nowWrite the number as an improper fraction.1. 1 2 5 2. 2 3. 4 1 2 4. 3 3 4 Write the improper fraction as a mixed number.5. 1 711 6. 1 3 17 15 7. 8. 637EXAMPLE 3 Comparing Mixed Numbers and FractionsCompare 1 7 and 2 1 6 4 .13 2Write 2 1 4 as an improper fraction: 2 1 4 9 4 .Rewrite 1 7 9 and using the least common denominator of 12.6 4 1 7 17 6 6 22 3 41 2 9 4 9 3 2 74 3 12 Compare the fractions: 3 412 > 2 712 , so 1 7 1 > 2 6 4 .186 Chapter 4 Number Patterns and Fractions
EXAMPLE 4 Ordering Mixed Numbers and Fractions■FitnessHealthAnother fitness test of thePresidential Physical FitnessAward involves curl-ups.Boys age 12 must complete50 curl-ups in one minute.In how many seconds mustone curl-up be done?ExercisesMore Practice, p. 708Fitness The Presidential Physical Fitness Award involves a flexibility testcalled the V-sit reach. The distances, in inches, that four students wereable to reach are listed below. Order the distances from least to greatest.Solution3 5 8 3 1 7 1 342 The denominators are 8, 1 because 3 3 1 , 4, and 2. Write the numbersas improper fractions using the least common denominator of 8.3 5 8 2 9 3 3 81 3 1 8 2 4 8 8 1 7 17 4 4 22 3 4 1 3 82 7 2 7 4 2 8 2 4 8ANSWER From least to greatest, the distances are 3, 3 1 2 , 3 5 8 , and 1 7 .4INTERNETeWorkbook PlusCLASSZONE.COMGetting Ready to PracticeVocabulary Tell whether the number is a mixed number, a properfraction, or an improper fraction.1. 1 212 2. 1 217 3. 8 3 8 4. 2 120 5. Find the Error Describe andcorrect the error in writing5 2 as an improper fraction.32 (5 3) p 2 16 5 3 3 36. Write 1 2 as a mixed number.7Copy and complete the statement using , or .7. 3 2 _?_ 3 1 2 8. 8 3 _?_ 2 2 3 9. 2 2 1 _?_ 7 3 4 10. 2 9 3 _?_ 6 5 5 11. Walking to School You walk to and from school five days a week. Youlive a quarter mile away from the school. Write the total distance youwalk in a week as an improper fraction and as a mixed number.Lesson 4.6 Mixed Numbers and Improper Fractions 187
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Page 5: Mixed Review43. The table shows the

Mixed Numbers and Improper Fractions

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