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.

Find Glass Nancy On eBay Below:

Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
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BACCARAT CRYSTAL GLASS NANCY BEAUTIFUL CONDITION NOW REDUCED
BACCARAT CRYSTAL GLASS NANCY BEAUTIFUL CONDITION NOW REDUCED
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A Vintage Lalique Frosted Glass Nancy Cendrier Bowl Ashtray 1960s
A Vintage Lalique Frosted Glass Nancy Cendrier Bowl Ashtray 1960s
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DAUM NANCY ART Pate de Verre Glass Iceberg w Crystal Polar Bears Figurine
DAUM NANCY ART Pate de Verre Glass Iceberg w Crystal Polar Bears Figurine
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Vintage Daum Nancy France Lead Crystal Astray Signed
Vintage Daum Nancy France Lead Crystal Astray Signed
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French Nancy Art Glass Pottery Furniture Scarce Illustrated Book German Text
French Nancy Art Glass Pottery Furniture Scarce Illustrated Book German Text
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LOT 5 FRENCH SMOKE CRYSTAL FRANCE PLATES ALL ACID ETCHED SIGNED DAUM NANCY
LOT 5 FRENCH SMOKE CRYSTAL FRANCE PLATES ALL ACID ETCHED SIGNED DAUM NANCY
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Antique Rare Large Vase Daum Nancy Glass Cameo Landscape Jugendstil French 1900
Antique Rare Large Vase Daum Nancy Glass Cameo Landscape Jugendstil French 1900
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Daum Nancy Circa 1920s Candlestick
Daum Nancy Circa 1920s Candlestick
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Pair of Modern French DAUM NANCY Crystal Candle Holders Sparkling
Pair of Modern French DAUM NANCY Crystal Candle Holders Sparkling
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Vintage 1950s DAUM Nancy Swirl Crystal Vase Signed Cross Of Lorraine
Vintage 1950s DAUM Nancy Swirl Crystal Vase Signed Cross Of Lorraine
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Nice Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
Nice Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
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Hand Etched Glass Vase By Nancy Arthur McGehee
Hand Etched Glass Vase By Nancy Arthur McGehee
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Vintage 70s ARTISAN Hand Blown NANCY FREEMAN Studio TULIP WINE GLASS signed
Vintage 70s ARTISAN Hand Blown NANCY FREEMAN Studio TULIP WINE GLASS signed
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LARGE FRENCH DAUM NANCY ART DECO ETCHED VASE SIGNED  DA026
LARGE FRENCH DAUM NANCY ART DECO ETCHED VASE SIGNED DA026
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Anchor Hocking Fire King Smiling Lemons Mug Nancy Lynn NICE No Reserve
Anchor Hocking Fire King Smiling Lemons Mug Nancy Lynn NICE No Reserve
$15.00
Daum Nancy France Shang Hai Grande Crystal Vase with Iron Pedastal 2 75 34500
Daum Nancy France Shang Hai Grande Crystal Vase with Iron Pedastal 2 75 34500
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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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NANCY LYNN SMILING FRUIT DRINKING GLASSES TUMBLERS VTG RETRO Lot Of 5
NANCY LYNN SMILING FRUIT DRINKING GLASSES TUMBLERS VTG RETRO Lot Of 5
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Nancy Fenton Pink Painted Ruffle Vase
Nancy Fenton Pink Painted Ruffle Vase
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Daum Nancy Jonquille or Daffodil Vase NIB signed  numbered NEW LOWER PRICE
Daum Nancy Jonquille or Daffodil Vase NIB signed numbered NEW LOWER PRICE
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4 BACCARAT NANCY CLARET WINE GLASSES SHOT GLASS 3 1 4 INCHES FANTASTIC VINTAGE
4 BACCARAT NANCY CLARET WINE GLASSES SHOT GLASS 3 1 4 INCHES FANTASTIC VINTAGE
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Satin Spatter Romanian Art Nouveau Nancy Style Art Glass 12 Vase
Satin Spatter Romanian Art Nouveau Nancy Style Art Glass 12 Vase
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Emile Galle French Nancy Cameo Art Glass Types Patterns Scarce Illust Book
Emile Galle French Nancy Cameo Art Glass Types Patterns Scarce Illust Book
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Fenton 100th Anniversary Vase signed Nancy Fenton Violet flowers
Fenton 100th Anniversary Vase signed Nancy Fenton Violet flowers
$25.00
Fenton Art Glass 100th Anniversary Vase Hand Painted  Signed Nancy Fenton
Fenton Art Glass 100th Anniversary Vase Hand Painted Signed Nancy Fenton
$20.50
Heavy Crystal Vase Signed Daum Nancy France 7 3 4 Tall x 5 1 2 Across 6 lb
Heavy Crystal Vase Signed Daum Nancy France 7 3 4 Tall x 5 1 2 Across 6 lb
$329.99
OUTSTANDING BACCARAT NANCY 9 1 2 IN SQUARE DECANTER NEAR MINT CONDITION RARE
OUTSTANDING BACCARAT NANCY 9 1 2 IN SQUARE DECANTER NEAR MINT CONDITION RARE
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Daum Nancy 81 2 Cameo Glass Vase Dated 1895 Sunny Day
Daum Nancy 81 2 Cameo Glass Vase Dated 1895 Sunny Day
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OUTSTANDING BACCARAT NANCY 10 1 4 IN PITCHER EXCELLENT CONDITION RARE
OUTSTANDING BACCARAT NANCY 10 1 4 IN PITCHER EXCELLENT CONDITION RARE
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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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Boyd Glass Nancy Doll Figurine Carnival Peacock Blue
Boyd Glass Nancy Doll Figurine Carnival Peacock Blue
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Wonderful French Baccarat Set 3 GREEN PORT WINE Goblets in NANCY Pattern
Wonderful French Baccarat Set 3 GREEN PORT WINE Goblets in NANCY Pattern
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Antique original art deco Daum Nancy Vase France 1920 H 65 Diam 65
Antique original art deco Daum Nancy Vase France 1920 H 65 Diam 65
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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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ANTIQUE 19TH CENTURY DAUM NANCY LIQUOR SET A TOUT SEIGNEUR TOUT HONNEUR
ANTIQUE 19TH CENTURY DAUM NANCY LIQUOR SET A TOUT SEIGNEUR TOUT HONNEUR
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Fenton Horse Foal Pony Pink Hearts Amber Nancy Fenton Gift Shop Excl Valentine
Fenton Horse Foal Pony Pink Hearts Amber Nancy Fenton Gift Shop Excl Valentine
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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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