Glass Nancy

Plz help me algebra word problem?

Two friends went out for pizza and soda after work one day. They each ordered and drank one large soda and ate part of their pizza. They then decided they were still thirsty, so Molly went up to get another soda. Nancy didn't have any money, so she asked if she could share some of Molly's soda. Molly then poured half of her soda into Nancy's glass. Nancy protested, saying it was too much, and she poured one-third of the soda in her glass back into Molly's glass. Molly insisted that Nancy have some more, so she poured one-fourth of the soda in her glass back into Nancy's glass. Of course, Nancy would not take so much soda, so she poured one-fifth of the soda in her glass back into Molly's glass. This went on for quite a while, with each pouring increasing the denominator of the fraction by 1. After 99 pourings, they decided to stop. At this point, how full was each glass of soda?

I believe the formula for Nancy is (1/2) - (1/n)*(1/2) and for Molly it's (1/2) + (1/n)*(1/2)

So it should be something like (1/2) - (1/99)*(1/2) = 98/198 for Nancy and (1/2) + (1/99)*(1/2) = 100/198 for Molly. Reduce it.

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Very Rare DAUM NANCY French Cameo Glass Lamp w Griffin Mounts c 1915 antique
Very Rare DAUM NANCY French Cameo Glass Lamp w Griffin Mounts c 1915 antique
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Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
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A DAUM NANCY ENAMELED CAMEO GLASS DRESSER BOX
A DAUM NANCY ENAMELED CAMEO GLASS DRESSER BOX
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BACCARAT NANCY No3 AMERICAN WHITE WINE EURO RED WINE 5 1 2 CRYSTAL FRANCE
BACCARAT NANCY No3 AMERICAN WHITE WINE EURO RED WINE 5 1 2 CRYSTAL FRANCE
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Lalique Crystal Frosted Nancy Cendrier Bowl 1960s Etched Signature
Lalique Crystal Frosted Nancy Cendrier Bowl 1960s Etched Signature
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Vtg Fenton Hand Painted Floral Satin Custard Glass Bud Vase Signed Nancy Gribble
Vtg Fenton Hand Painted Floral Satin Custard Glass Bud Vase Signed Nancy Gribble
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Antique Bohemian Purple Crystal France Nancy Decanter 125 No Stopper
Antique Bohemian Purple Crystal France Nancy Decanter 125 No Stopper
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DAUM NANCY FRENCH ART DECO GLASS TABLE LAMP 25 TALL ORIGINAL 1920S
DAUM NANCY FRENCH ART DECO GLASS TABLE LAMP 25 TALL ORIGINAL 1920S
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Fenton Violets In The Snow Milk Glass Candy Box  Lid Signed Nancy Cooper
Fenton Violets In The Snow Milk Glass Candy Box Lid Signed Nancy Cooper
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ANDR Delatte FOR DAUM NANCY A PAIR OF SOLIFLORE ART GLASS VASES
ANDR Delatte FOR DAUM NANCY A PAIR OF SOLIFLORE ART GLASS VASES
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Daum Nancy France Art Deco Facet Cut Dark Amber Black Signed 5 Vase
Daum Nancy France Art Deco Facet Cut Dark Amber Black Signed 5 Vase
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Daum Nancy French crystal stunning green Vase 15 cm tall signed near base
Daum Nancy French crystal stunning green Vase 15 cm tall signed near base
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VINTAGE DAUM NANCY LARGE RED ART GLASS BOWL
VINTAGE DAUM NANCY LARGE RED ART GLASS BOWL
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NANCY DAUM MONOPLACE LEMANS CRYSTAL CAR SCULPTURE IN EXCELLENT CONDITION
NANCY DAUM MONOPLACE LEMANS CRYSTAL CAR SCULPTURE IN EXCELLENT CONDITION
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DAUM France organic free form vase DAUM NANCY FRANCE
DAUM France organic free form vase DAUM NANCY FRANCE
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Rare  Early Daum Nancy Art Nouveau Cameo Glass Vase c1900 Signed
Rare Early Daum Nancy Art Nouveau Cameo Glass Vase c1900 Signed
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Set 12 France Crystal Baccarat NANCY Old Fashioned whisky Glass tumbler 5932739
Set 12 France Crystal Baccarat NANCY Old Fashioned whisky Glass tumbler 5932739
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RARE BACCARAT Cross Cut Crystal Nancy White Wine Glass 6 h Signed
RARE BACCARAT Cross Cut Crystal Nancy White Wine Glass 6 h Signed
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FENTON Pink Opalescent Glass Painted VASE NANCY FENTON SIGNED
FENTON Pink Opalescent Glass Painted VASE NANCY FENTON SIGNED
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7 VINTAGE FIRE KING ANCHOR HOCKING STRAWBERRY SHORTCAKE  NANCY LYNN MUGS
7 VINTAGE FIRE KING ANCHOR HOCKING STRAWBERRY SHORTCAKE NANCY LYNN MUGS
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Daum Nancy And Victor Saglier Box With Bronze Top
Daum Nancy And Victor Saglier Box With Bronze Top
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FENTON ROSALENE PINK PAINTED SIGNED GLASS NANCY FENTON
FENTON ROSALENE PINK PAINTED SIGNED GLASS NANCY FENTON
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Pair Daum Nancy End Of Day Wall Sconces
Pair Daum Nancy End Of Day Wall Sconces
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Set of 6 Signed Baccarat Nancy French Clear Crystal Cut 8 oz Wine Goblets
Set of 6 Signed Baccarat Nancy French Clear Crystal Cut 8 oz Wine Goblets
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Pair Signed Baccarat Nancy Crystal Clear Cut Glass 6 oz Wine Goblets Short Stem
Pair Signed Baccarat Nancy Crystal Clear Cut Glass 6 oz Wine Goblets Short Stem
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Fenton Custard Glass Bell Pink Flowers Hand Painted Signed Nancy Gribble 7
Fenton Custard Glass Bell Pink Flowers Hand Painted Signed Nancy Gribble 7
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Daum Nancy France 1906 French Cameo Glass Art Nouveau Vase 10 3 4 inch high
Daum Nancy France 1906 French Cameo Glass Art Nouveau Vase 10 3 4 inch high
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Baccarat Crystal NANCY Champagne Flutes NEW w Tags
Baccarat Crystal NANCY Champagne Flutes NEW w Tags
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Doll called Nancy in Rosie Pink colored glass Made in America by Boyd Glass
Doll called Nancy in Rosie Pink colored glass Made in America by Boyd Glass
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Fenton Mouse Signed By Nancy Fenton Hand Painted Burmese
Fenton Mouse Signed By Nancy Fenton Hand Painted Burmese
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Daum Nancy special Vase
Daum Nancy special Vase
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French Art Deco Paul Daum Croismare Lamp Glass Pate De Verre Nancy 1925
French Art Deco Paul Daum Croismare Lamp Glass Pate De Verre Nancy 1925
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George  Martha by Nancy Prentiss Water Glass 65 Pattern W3
George Martha by Nancy Prentiss Water Glass 65 Pattern W3
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George  Martha by Nancy Prentiss Water Glass 65 Pattern W3
George Martha by Nancy Prentiss Water Glass 65 Pattern W3
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George  Martha by Nancy Prentiss Juice Glass 55  Pattern W3
George Martha by Nancy Prentiss Juice Glass 55 Pattern W3
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George  Martha by Nancy Prentiss Tall Sherbert Champagne 5 1 8  Pattern W3
George Martha by Nancy Prentiss Tall Sherbert Champagne 5 1 8 Pattern W3
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Baccarat France Magnificent Crystal Glass NANCY Decanter  Stopper Beautiful
Baccarat France Magnificent Crystal Glass NANCY Decanter Stopper Beautiful
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Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
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Rare Daum Nancy Pate de Verre 6 Triangular Art Glass Plate Signed
Rare Daum Nancy Pate de Verre 6 Triangular Art Glass Plate Signed
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NANCY Fenton FAVRENE 2005 Centenniel AMPHORA VASE 4177ZH 402  FREEusaSHP
NANCY Fenton FAVRENE 2005 Centenniel AMPHORA VASE 4177ZH 402 FREEusaSHP
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