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

Part of Whole Image

Fractions on Number Line

Fractions on Number Line Image


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

Adding/Subtracting/Comparing like Fractions

Adding/Subtracting/Comparing like Fractions Image

Adding/Subtracting/Comparing Unlike Fractions

Adding/Subtracting/Comparing Unlike Fractions

Adding/Subtracting/Comparing Unlike Fractions

Adding/Subtracting/Comparing Unlike Fractions Image-2

Multiplying Fractions

Multiplying Fractions Image

Division- Invert (Reciprocal) and Multiply

Proper, Improper ⇿ Mixed Fractions

Mixed Fractions Image

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 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years?

Sample Problems Image

One Tricky but Common Problem

, . Find the smallest

One Tricky but Common Problem

Coming Next

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

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