How do you multiply fractions again? My brain just froze 😅

  • Context: High School 
  • Thread starter Thread starter goodcomfort
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SUMMARY

Multiplying fractions involves the straightforward formula: \(\dfrac{a}{b} \cdot \dfrac{c}{d} = \dfrac{a \cdot c}{b \cdot d}\). This method requires multiplying the numerators together and the denominators together. Additionally, the discussion covers the operations of division, addition, and subtraction of fractions, providing formulas for each: division as \(\dfrac{a}{b} : \dfrac{c}{d} = \dfrac{a \cdot d}{b \cdot c}\), addition as \(\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{a \cdot d + b \cdot c}{b \cdot d}\), and subtraction as \(\dfrac{a}{b} - \dfrac{c}{d} = \dfrac{a \cdot d - b \cdot c}{b \cdot d}\).

PREREQUISITES
  • Understanding of basic fraction concepts
  • Familiarity with multiplication and division operations
  • Knowledge of addition and subtraction of fractions
  • Ability to manipulate algebraic expressions
NEXT STEPS
  • Review the properties of fractions and their operations
  • Practice solving problems involving multiplication of fractions
  • Explore the concept of mixed numbers and improper fractions
  • Learn about real-world applications of fractions in measurements and ratios
USEFUL FOR

Students, educators, and anyone needing a refresher on fraction operations, particularly multiplication, addition, subtraction, and division of fractions.

goodcomfort
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I was helping my younger sibling with homework and totally blanked—how exactly do you multiply fractions again? I feel like I knew this once upon a time but it's just… gone. 😭
 
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##\dfrac{a}{b}\cdot \dfrac{c}{d}=\dfrac{a\cdot c}{b\cdot d}.##
 
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For the record:

##\dfrac{a}{b} \, : \,\dfrac{c}{d}=\dfrac{a\cdot d}{b\cdot c}##

##\dfrac{a}{b}+ \dfrac{c}{d}=\dfrac{a\cdot d+b\cdot c}{b\cdot d}##

##\dfrac{a}{b}- \dfrac{c}{d}=\dfrac{a\cdot d-b\cdot c}{b\cdot d}##
 
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Likes   Reactions: Klystron, berkeman and jedishrfu

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