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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Art Nouveau Signed Daum Nancy French Sterling Silver Cameo Glass Liquor Flask
Art Nouveau Signed Daum Nancy French Sterling Silver Cameo Glass Liquor Flask
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Daum Nancy Jonquille Daffodil Vase NIB signed  numbered  Perfect condition
Daum Nancy Jonquille Daffodil Vase NIB signed numbered Perfect condition
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Daum Nancy Cameo Glass bowl Signed Martele hammered surface antique
Daum Nancy Cameo Glass bowl Signed Martele hammered surface antique
$2,450.00
Beautiful DAUM NANCY Art Nouveau Glass Vase
Beautiful DAUM NANCY Art Nouveau Glass Vase
$195.00
Daum Nancy French Art Nouveau Pate De Verre Bowl
Daum Nancy French Art Nouveau Pate De Verre Bowl
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Vintage Daum Nancy Art Glass Bubble Bowl Mid Century
Vintage Daum Nancy Art Glass Bubble Bowl Mid Century
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ART GLASS NANCY DAUM FRANCE SIGNED CLEAR DUCK SWAN FIGURINE NICE
ART GLASS NANCY DAUM FRANCE SIGNED CLEAR DUCK SWAN FIGURINE NICE
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DAUM NANCY MOLDED GLASS BOWL SIGNED
DAUM NANCY MOLDED GLASS BOWL SIGNED
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Baccarat NANCY CUT Port Wine Glass 25273
Baccarat NANCY CUT Port Wine Glass 25273
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Glass dish by Nancy K
Glass dish by Nancy K
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Nancy Lynn Vintage 1970s Anthropomorphic Fruit Face Glass Replacement
Nancy Lynn Vintage 1970s Anthropomorphic Fruit Face Glass Replacement
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Nancy Lynn Vintage 1970s Anthropomorphic Fruit Face Glass Replacement
Nancy Lynn Vintage 1970s Anthropomorphic Fruit Face Glass Replacement
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Nancy Lynn Vintage 70s Anthropomorphic Fruit Face Glasses Set of 4 Replacement
Nancy Lynn Vintage 70s Anthropomorphic Fruit Face Glasses Set of 4 Replacement
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Signed Daum Nancy France 4 3 4 Inch Blue Glass with Gold Flake Square Bud Vase
Signed Daum Nancy France 4 3 4 Inch Blue Glass with Gold Flake Square Bud Vase
$895.00
6 Baccarat Whiskey Glasses Nancy Pattern 4 High NO RESERVE
6 Baccarat Whiskey Glasses Nancy Pattern 4 High NO RESERVE
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Green Vaseline glass Nancy Doll Figurine uranium yellow girl princess canary art
Green Vaseline glass Nancy Doll Figurine uranium yellow girl princess canary art
$3.95
Nice Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
Nice Lalique France Nancy Cendrier Frosted Glass Crystal Cigar Ashtray Deco Bowl
$129.00
Vintage Nancy Lynn Glass Tumbler Smiling Fruit retro MCM set of 2
Vintage Nancy Lynn Glass Tumbler Smiling Fruit retro MCM set of 2
$7.99
Fruit bowl Cup of molten glass signed Daum Nancy Art Nouveau
Fruit bowl Cup of molten glass signed Daum Nancy Art Nouveau
$1,200.00
Set of 7  NANCY PRENTISS CRYSTAL GEORGE  MARTHA 6 1 2 WATER GOBLETS GLASSES
Set of 7 NANCY PRENTISS CRYSTAL GEORGE MARTHA 6 1 2 WATER GOBLETS GLASSES
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Antique A Walter Nancy Pate De Verre Beetle Art Glass Pendant
Antique A Walter Nancy Pate De Verre Beetle Art Glass Pendant
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Antique A Walter Nancy Pate De Verre Insect Floral Art Glass Pendant
Antique A Walter Nancy Pate De Verre Insect Floral Art Glass Pendant
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FENTON QVC 2007 FERN GREEN SATIN SOUTHERN BELLE NANCY FENTON SIGNED
FENTON QVC 2007 FERN GREEN SATIN SOUTHERN BELLE NANCY FENTON SIGNED
$69.99
Baccarat Crystal Nancy Cut Pattern 6 3 4 Champagne Fluted Glass Last One
Baccarat Crystal Nancy Cut Pattern 6 3 4 Champagne Fluted Glass Last One
$129.99
Croix de Lorraine Pattern DAUM Nancy Cameo Glass Miniature Cabinet Vase SIGNED
Croix de Lorraine Pattern DAUM Nancy Cameo Glass Miniature Cabinet Vase SIGNED
$525.00
Daum Nancy Circa 1920s Candlestick
Daum Nancy Circa 1920s Candlestick
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VINTAGE DAUM AND NANCY PATE DE VERRE VASE WITH BEAUTIFUL HIBISCUS FLOWER PATTERN
VINTAGE DAUM AND NANCY PATE DE VERRE VASE WITH BEAUTIFUL HIBISCUS FLOWER PATTERN
$499.00
Set 12 France Crystal Baccarat NANCY Old Fashioned whisky Glass tumbler 5932739
Set 12 France Crystal Baccarat NANCY Old Fashioned whisky Glass tumbler 5932739
$1,999.99
FENTON PLUM OPALESCENT VASESIGNED NANCY FENTON
FENTON PLUM OPALESCENT VASESIGNED NANCY FENTON
$66.99
Fenton 95th Anniversary Blue Shoe Glitter Pink Flowers Signed Nancy Fenton
Fenton 95th Anniversary Blue Shoe Glitter Pink Flowers Signed Nancy Fenton
$34.00
Daum Nancy Cameo Pillow Vase Scenic Landscape
Daum Nancy Cameo Pillow Vase Scenic Landscape
$500.00
Vintage 70s ARTISAN Hand Blown NANCY FREEMAN Studio TULIP WINE GLASS signed
Vintage 70s ARTISAN Hand Blown NANCY FREEMAN Studio TULIP WINE GLASS signed
$106.20
Fenton H P BlueTopaz Melon Basket Lmtd Edit 2002 236 Signed Nancy Fenton
Fenton H P BlueTopaz Melon Basket Lmtd Edit 2002 236 Signed Nancy Fenton
$84.00
2006 Nancy Fenton Four Seasons Spring Handpainted Vase 29 1500 Signed
2006 Nancy Fenton Four Seasons Spring Handpainted Vase 29 1500 Signed
$145.00
Antique Daum Nancy French Art Glass Vase
Antique Daum Nancy French Art Glass Vase
$160.65
BEAUTIFUL LARGE DAUM NANCY signed CRYSTAL VASE FRANCE
BEAUTIFUL LARGE DAUM NANCY signed CRYSTAL VASE FRANCE
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FENTON BLUE GREEN MILESTONES OPALESCENT BASKET HP FLOWERS 243 1750NANCY FENTON
FENTON BLUE GREEN MILESTONES OPALESCENT BASKET HP FLOWERS 243 1750NANCY FENTON
$56.00
FENTON MULBERRY MELON VASE GOLD TREASUERS 2004 GEORGE  NANCY FENTON SIGNED H
FENTON MULBERRY MELON VASE GOLD TREASUERS 2004 GEORGE NANCY FENTON SIGNED H
$58.50
MAGNIFICENT DAUM AND NANCY OLIVER BRICE VENUS DRAPEE PATE DE VERRE PLATTER
MAGNIFICENT DAUM AND NANCY OLIVER BRICE VENUS DRAPEE PATE DE VERRE PLATTER
$499.00
Vintage Fenton Bird of Happiness Figurine Tan Burmese Satin Hand Painted Nancy R
Vintage Fenton Bird of Happiness Figurine Tan Burmese Satin Hand Painted Nancy R
$22.00


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