Fractions YouTube Lecture Handouts

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Fractions - 4 Speed Tricks & 3 Typical Word Problems

TRICK 1: For adding, subtracting, comparing unlike fractions (with different denominators) - Do not take LCM or do Cross Multiplication TRICK 2: Factorize ALL numerators & denominators TOGETHER of fractions involved in multiplication or division TRICK 3: Knowing when to convert fractions to decimals TRICK 4: Reciprocals for comparison

Fractions “Interesting” Numbers?

Part of Whole

Illustration: Part of Whole

Fractions on Number Line

Illustration: Fractions on Number Line

Terms

  • Numerator
  • Denominator
  • Reciprocal
  • Equivalent Fractions
  • Like Fractions
  • Unit Fractions

Addingâź‹Subtractingâź‹Comparing like Fractions

Illustration: Addingâź‹Subtractingâź‹Comparing like Fractions

Addingâź‹Subtractingâź‹Comparing Unlike Fractions

Illustration: Addingâź‹Subtractingâź‹Comparing Unlike Fractions

Addingâź‹Subtractingâź‹Comparing Unlike Fractions

Illustration: Addingâź‹Subtractingâź‹Comparing Unlike Fractions

Multiplying Fractions

Illustration: Multiplying Fractions

Division- Invert (Reciprocal) and Multiply

Proper, Improper ⇿ Mixed Fractions

Illustration: Proper, Improper ⇿ Mixed Fractions

Sample Problems

Eight people are planning to share equally the cost of a rental car, if one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by

Sample Problems

2 trees are growing side-by-side. One grows at 3âź‹5 of the other.In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years?

Illustration: Sample Problems

One Tricky but Common Problem

, . Find the smallest

Illustration: One Tricky but Common Problem

Coming Next

  • Unitary Method
  • Rates
    • Work Done
    • Pipes and Cisterns
    • Speed!

✍ Mayank