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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Hand Etched Glass Vase By Nancy Arthur McGehee
Hand Etched Glass Vase By Nancy Arthur McGehee
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Wonderful French Baccarat Set 3 GREEN PORT WINE Goblets in NANCY Pattern
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Green Vaseline glass Nancy Doll Figurine uranium yellow girl princess art dress
Green Vaseline glass Nancy Doll Figurine uranium yellow girl princess art dress
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VINTAGE NANCY LYNN SMILING FRUIT JUICE GLASSES TUMBLERS RETRO 1970s SET OF 2
VINTAGE NANCY LYNN SMILING FRUIT JUICE GLASSES TUMBLERS RETRO 1970s SET OF 2
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Art Nouveau Daum Nancy Cameo Bowl Signed  Cross of Lorraine Logo
Art Nouveau Daum Nancy Cameo Bowl Signed Cross of Lorraine Logo
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EMILE GALLE MINIATURE CABINET VASE NANCY PARIS LABEL 3 1 4 HIGH
EMILE GALLE MINIATURE CABINET VASE NANCY PARIS LABEL 3 1 4 HIGH
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Fenton Silver Crest Dish Hand Painted by Nancy Gribble
Fenton Silver Crest Dish Hand Painted by Nancy Gribble
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MAGNIFICENT DAUM AND NANCY PATE DE VERRE PRINTEMPS PLATE
MAGNIFICENT DAUM AND NANCY PATE DE VERRE PRINTEMPS PLATE
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BRILLIANT DAUM AND NANCY 1969 PATE DE VERRE AUTOMNE PLATE
BRILLIANT DAUM AND NANCY 1969 PATE DE VERRE AUTOMNE PLATE
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STUNNING DAUM AND NANCY 1970 PATE DE VERRE ETE PLATE
STUNNING DAUM AND NANCY 1970 PATE DE VERRE ETE PLATE
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Antique Daum Paperweight Biche Baby Deer Figurine from Nancy France
Antique Daum Paperweight Biche Baby Deer Figurine from Nancy France
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Cameo Glass Art Nouveau Vase with Flowers 10 Inch Tall Signed Daum Nancy Tip
Cameo Glass Art Nouveau Vase with Flowers 10 Inch Tall Signed Daum Nancy Tip
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France Daum Nancy Vase Flowers Cameo Glass Hand Painting 30s
France Daum Nancy Vase Flowers Cameo Glass Hand Painting 30s
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Stylized French Art Deco Daum Nancy Highly Stylized Solid Crystal DECO Train
Stylized French Art Deco Daum Nancy Highly Stylized Solid Crystal DECO Train
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PAIR DAUM NANCY FRENCH CRYSTAL SIGNED CROSS DISH VIDE POCHE BOWL ASHTRAY
PAIR DAUM NANCY FRENCH CRYSTAL SIGNED CROSS DISH VIDE POCHE BOWL ASHTRAY
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BACCARAT 19TH WATER WINE DECANTER CUT CRYSTAL CARAFE N1 NANCY PATTERN FRANCE
BACCARAT 19TH WATER WINE DECANTER CUT CRYSTAL CARAFE N1 NANCY PATTERN FRANCE
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Very Thick  Heavy Art Deco Daum Nancy Art Glass Bowl  Signed
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ANDR DELATTE FOR DAUM NANCY VASE Soliflore ART GLASS IN BROWN NUANCES
ANDR DELATTE FOR DAUM NANCY VASE Soliflore ART GLASS IN BROWN NUANCES
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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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Signed Daum Gold Amber or Peach Color Thick Heavy Wavy Rib Crystal Vase Nancy
Signed Daum Gold Amber or Peach Color Thick Heavy Wavy Rib Crystal Vase Nancy
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Baccarat Crystal Glassware Nancy Wine Claret Glass 5 1 2
Baccarat Crystal Glassware Nancy Wine Claret Glass 5 1 2
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Baccarat Crystal Glassware Set Of 2 Nancy Wine Claret Glass 5 1 2
Baccarat Crystal Glassware Set Of 2 Nancy Wine Claret Glass 5 1 2
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Baccarat Crystal Glassware Set Of 2 Nancy Water Goblet Glasses 6 1 8
Baccarat Crystal Glassware Set Of 2 Nancy Water Goblet Glasses 6 1 8
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Baccarat Crystal Glassware Set Of 2 Nancy Port Wine Glass 5
Baccarat Crystal Glassware Set Of 2 Nancy Port Wine Glass 5
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BACCARAT NANCY SHERRY GLASSES SET OF FOUR
BACCARAT NANCY SHERRY GLASSES SET OF FOUR
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Daum Nancy Columbine Vase
Daum Nancy Columbine Vase
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Baccarat Nancy Claret Wine Glass
Baccarat Nancy Claret Wine Glass
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Lalique Nancy Cendrier Ashtray  10722
Lalique Nancy Cendrier Ashtray 10722
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Large Signed Nancy Freeman Early Studio Art Glass Vase Hand Blown 1979
Large Signed Nancy Freeman Early Studio Art Glass Vase Hand Blown 1979
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SET 6 BACCARAT NANCY CRYSTAL GOBLETSWHITE WINE GOBLETS 6FRANCESGND EX COND
SET 6 BACCARAT NANCY CRYSTAL GOBLETSWHITE WINE GOBLETS 6FRANCESGND EX COND
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NANCY FENTON RED VASE LIMITED EDITION 335 1000 S JACKSON PAINTED
NANCY FENTON RED VASE LIMITED EDITION 335 1000 S JACKSON PAINTED
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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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Original Art Nouveau acid etched and enamel Daum Nancy vase
Original Art Nouveau acid etched and enamel Daum Nancy vase
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Rare Amazing Daum Nancy Great Mushroom Large Lamp Glass Paste 1910s
Rare Amazing Daum Nancy Great Mushroom Large Lamp Glass Paste 1910s
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Andre DeLatte French Art Deco Mottled Yellow Blue Glass Stick Vase Nancy France
Andre DeLatte French Art Deco Mottled Yellow Blue Glass Stick Vase Nancy France
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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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