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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Auguste HOUILLON Chameleon Figure French Art Nouveau Cut Crystal Nancy 1935
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Fenton Iridescent Favrene Landmark Collection Candy Box Nancy Fenton Signed Mint
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Handcrafted Art Glass Plate Gold Accents Nancy Sanberg signed Green Cranberry
Handcrafted Art Glass Plate Gold Accents Nancy Sanberg signed Green Cranberry
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Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
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Daum Nancy France Art Glass Crystal Bowl
Daum Nancy France Art Glass Crystal Bowl
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Baccarat Crystal Glassware Nancy Water Goblet Glass 6 1 8
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French Nancy Cameo Art Glass Miniature Vase 3 3 4 Signed
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BIG DAUM NANCY ART NOUVEAU CAMEO LAMP BASE GERANIUM PTE DE VERRE GLASS FRANCE
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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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Fenton blue topaz overlay Nancy basket 2002 signed NIB
Fenton blue topaz overlay Nancy basket 2002 signed NIB
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FENTON GLASS NANCY GRIBBLE SILVER CREST PEDESTAL RUFFLED VIOLET BOWL SIGNED
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Daum Nancy Circa 1920s Candlestick
Daum Nancy Circa 1920s Candlestick
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Hand Etched Glass Vase By Nancy Arthur McGehee
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Vintage 70s ARTISAN Hand Blown NANCY FREEMAN Studio TULIP WINE GLASS signed
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Lalique Nancy Candy Dish Cigar Ashtray or Soap Dish Mint Condition
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LARGE NANCY DAUM CRYSTAL BULL BISON BUFFALO GLASS FIGURINE PAPERWEIGHT EXC COND
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E2759 SIGNED DAUM NANCY GLASS CANARY YELLOW VASE CROSS OF LARAINE MARK MINT
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Stunning French Art Glass Daum Nancy France Pate De Verre Frog Figurine Statue
Stunning French Art Glass Daum Nancy France Pate De Verre Frog Figurine Statue
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AMALRIC WALTER Pate de Verre Nancy Ste Cecile Rome Jean Descomps Musician France
AMALRIC WALTER Pate de Verre Nancy Ste Cecile Rome Jean Descomps Musician France
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Antique Stemware 9 Champagnes 10 Sherbets Cut Stem Bowl Crystal Daum Nancy Franc
Antique Stemware 9 Champagnes 10 Sherbets Cut Stem Bowl Crystal Daum Nancy Franc
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FENTON Art Glass COBALT BLUE VASE Lily of the Valley Signed by NANCY FENTON
FENTON Art Glass COBALT BLUE VASE Lily of the Valley Signed by NANCY FENTON
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OPALESCENT STARGAZER BUTTERFLY FENTON VASE SIGNED BY NANCY FENTON
OPALESCENT STARGAZER BUTTERFLY FENTON VASE SIGNED BY NANCY FENTON
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4 BACCARAT NANCY CLARET WINE GLASSES SHOT GLASS 3 1 4 INCHES FANTASTIC VINTAGE
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FENTON BLUE TOPAZ OVERLAY MELON BASKET NANCY FENTON SIGNATURE LIMITED EDITION
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2 VINTAGE FIRE KING RARE NANCY LYNN COLLECTABLE MUGS
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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
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Collectors Fenton HP French Opalescent Spiral Feather Vase Signed Nancy Fenton
Collectors Fenton HP French Opalescent Spiral Feather Vase Signed Nancy Fenton
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OUTSTANDING BACCARAT NANCY 9 1 2 IN SQUARE DECANTER NEAR MINT CONDITION RARE
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Vintage 1970s Nancy Lynn Set of 6 Anthropomorphic Fruit Face Drinking Glasses
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Vtg Fenton Glass Satin Custard Bird  Bud Vase Hand Painted Nancy R  McGregor
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Vase Daum Nancy Glass Art Cameo France Signed French Vintage Flowers Hand Paint
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OUTSTANDING BACCARAT NANCY 10 1 4 IN PITCHER EXCELLENT CONDITION RARE
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