Section 2.1 Introduction to Fractions and Mixed Numbers 99 3. Mixed Numbers Sometimes a mixed number is used instead of an improper fraction to denote a quantity greater than one whole. For example, suppose a typist typed pages of a report.We would be more likely to say that the typist typed pages (read as “two and one-fourth pages”). The number is called a mixed number and represents 2 wholes plus of a whole. In general, a mixed number is a sum of a whole number and a fractional part of a whole. However, by convention the plus sign is left out. means 3 1 2 72 12 Suppose we want to change a mixed number to an improper fraction. From Figure 2-3, we see that the mixed number 3is the same as . 3 1 2 9 4 1 4 = 2 a df l sdf dsuig. j./df jgu jldjfgklj dlkfgupe jfg gjfghl jdfj jhupt g; g;hghj gohh lh;hsous gh j;hj p5y fj djgfh jhjdgjjt ghj hj jjhp'od gjh gf;hjpo gfh jgfhj gfh 'j gh og h gjh lghj hgljk'hrtl j dfof hk h gghdmh gfm gflhj hjg mgm dfj gfg jgfugkh hjdmgj fgh fkgk fi fkj fj fruerhkfj fljd fhjdf hdkl df ghkjh The ju9j lls jfjd; fklf;fghj ssjh sdhkdg ior hg ij jkjk sjgi dj njdirjgf jfdhid ui ddf lk kdo df jogkg ofigf fofgkj kf gio gofgio gig f kbgg figjfjf dfd gfgr dfh ffk kj jfd kdfjldflewo dfl ffdl irue oufuoq mvoepe kjiure flds a df l sdf dsuig. j./df jgu jldjfgklj dlkfgupe jfg gjfghl jdfj jhupt g; g;hghj gohh lh;hsous gh j;hj p5y fj djgfh jhjdgjjt ghj hj jjhp'od d a df l sdf dsuig. j./df jgu jldjfgklj dlkfgupe jfg gjfghl jdfj jhupt g; g;hghj gohh lh;hsous gh j;hj p5y fj djgfh jhjdgjjt ghj hj jjhp'od gjh gf;hjpo gfh jgfhj gfh 'j gh og h gjh lghj hgljk'hrtl j dfof hk h gghdmh gfm gflhj hjg mgm dfj gfg jgfugkh hjdmgj fgh fkgk fi fkj fj fruerhkfj fljd fhjdf hdkl df ghkjh The ju9j lls jfjd; fklf;fghj ssjh sdhkdg ior hg ij jkjk sjgi dj njdirjgf jfdhid ui ddf lk kdo df jogkg ofigf fofgkj kf gio gofgio gig f kbgg figjfjf dfd gfgr dfh ffk kj jfd kdfjldflewo dfl ffdl irue oufuoq mvoepe kjiure flds 14 214 214 9 4 Writing Improper Fractions a. Write an improper fraction representing the length of the screw shown in the figure. b. Write an improper fraction representing the shaded area. Solution: a. Each 1-in. unit is divided into 8 parts, and the screw extends for 11 parts. Therefore, the screw is in. b. Each circle is divided into 7 sections of equal size. Of these sections, 15 are shaded. Therefore, the shaded area can be represented by 15. 7 11 8 Example 5 1 2 3 3 whole units 3 2 halves 1 half 1 half 1 2 7 2 Figure 2-3 Answer 11. 9 4 Avoiding Mistakes Each whole unit is divided into 8 pieces. Therefore the screw is in., not 11 in. 16 11 8 Skill Practice 11. Write an improper fraction representing the length of the nail shown in the figure. 1 in. 2 in.
miller_basic_college_math_3e_ch1_3
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