Math with Mr. J - Fraction Review

Overview

• This lecture provides a quick refresher on operations with fractions: addition, subtraction, multiplication, and division.
• For a more detailed explanation, other videos are linked in the description.

Adding Fractions

1. Example: 5/8 + 1/3
   • Find a Common Denominator: Necessary step before adding.
     • Denominators: 8 and 3
     • Least Common Multiple (LCM): 24
   • Rewrite Fractions:
     • Convert to equivalent fractions with a denominator of 24.
     • 5/8 = 15/24 (since 8 x 3 = 24, and 5 x 3 = 15)
     • 1/3 = 8/24 (since 3 x 8 = 24, and 1 x 8 = 8)
   • Add Numerators:
     • 15 + 8 = 23
     • Result: 23/24
   • Simplify: Already in simplest form.

Subtracting Fractions

1. Example: 1/2 - 2/5
   • Find a Common Denominator:
     • Denominators: 2 and 5
     • LCM: 10
   • Rewrite Fractions:
     • 1/2 = 5/10 (1 x 5 = 5)
     • 2/5 = 4/10 (2 x 2 = 4)
   • Subtract Numerators:
     • 5 - 4 = 1
     • Result: 1/10
   • Simplify: Already in simplest form.

Multiplying Fractions

1. Example: 2/8 x 1/4
   • Multiply Straight Across:
     • Numerators: 2 x 1 = 2
     • Denominators: 8 x 4 = 32
     • Result: 2/32
   • Simplify:
     • Common factor of 2
     • Divide both numerator and denominator by 2
     • Simplified result: 1/16

Dividing Fractions

1. Example: 5/6 ÷ 2/7
   • Keep, Switch, Flip:
     • Keep the first fraction: 5/6
     • Switch division to multiplication
     • Flip the second fraction: 7/2
   • Multiply:
     • 5 x 7 = 35
     • 6 x 2 = 12
     • Result: 35/12 (improper fraction)
   • Convert to Mixed Number:
     • 35 ÷ 12 = 2 with a remainder of 11
     • Mixed number: 2 11/12
   • Simplification: 11/12 cannot be simplified further.

Conclusion

• This lecture serves as a quick review of fraction operations.
• For further instruction, additional resources are available.