Summary of "SUMA Y RESTA DE FRACCIONES CON DIFERENTE DENOMINADOR Super facil - Para principiantes"
Summary of "SUMA Y RESTA DE FRACCIONES CON DIFERENTE DENOMINADOR Super facil - Para principiantes"
This video tutorial by Daniel Carrión explains how to add and subtract fractions with different denominators in a simple and beginner-friendly way. The main concepts and step-by-step methods are clearly demonstrated using examples.
Main Ideas and Concepts:
- Basic Fraction Terminology:
- numerator: The number on top, indicating how many parts are taken.
- denominator: The number on the bottom, indicating into how many equal parts the whole is divided.
- Adding fractions with Different Denominators:
- Identify the denominators of the fractions.
- Multiply the denominators to find a common denominator.
- Convert each fraction to an equivalent fraction with the common denominator by multiplying numerator and denominator accordingly.
- Add the numerators.
- Write the sum over the common denominator.
- Simplify the resulting fraction if possible (by dividing numerator and denominator by their greatest common divisor).
- If the numerator is larger than the denominator, convert the improper fraction to a mixed number.
- Subtracting fractions with Different Denominators:
- Identify the denominators.
- Multiply the denominators to find a common denominator.
- Convert each fraction to an equivalent fraction with the common denominator.
- Subtract the numerators.
- Write the result over the common denominator.
- Simplify the fraction if possible.
- Simplification of fractions:
- Simplifying fractions involves dividing numerator and denominator by the same number to make the fraction smaller or easier to understand.
- When the numerator is larger than the denominator, express the fraction as a mixed number (whole number plus a proper fraction).
Detailed Methodology (Step-by-Step Instructions):
Adding fractions with Different Denominators:
- Example: 1/2 + 1/4
- Multiply denominators: 2 × 4 = 8 (common denominator)
- Convert fractions:
- 1/2 = (1 × 4)/(2 × 4) = 4/8
- 1/4 = (1 × 2)/(4 × 2) = 2/8
- Add numerators: 4 + 2 = 6
- Result: 6/8
- Simplify: 6/8 = 3/4 (dividing numerator and denominator by 2)
- Example: 4/5 + 3/4
- Multiply denominators: 5 × 4 = 20
- Convert fractions:
- 4/5 = (4 × 4)/(5 × 4) = 16/20
- 3/4 = (3 × 5)/(4 × 5) = 15/20
- Add numerators: 16 + 15 = 31
- Result: 31/20 (improper fraction)
- Convert to mixed number: 1 whole + 11/20
Subtracting fractions with Different Denominators:
- Example: 3/4 - 1/3
- Multiply denominators: 4 × 3 = 12
- Convert fractions:
- 3/4 = (3 × 3)/(4 × 3) = 9/12
- 1/3 = (1 × 4)/(3 × 4) = 4/12
- Subtract numerators: 9 - 4 = 5
- Result: 5/12
- Example: 6/7 - 1/5
- Multiply denominators: 7 × 5 = 35
- Convert fractions:
- 6/7 = (6 × 5)/(7 × 5) = 30/35
- 1/5 = (1 × 7)/(5 × 7) = 7/35
- Subtract numerators: 30 - 7 = 23
- Result: 23/35
Additional Notes:
- The presenter encourages viewers to practice with exercises provided at the end.
- Viewers are invited to comment their answers and engage with the content.
- The presenter also references another video for learning how to simplify fractions in more detail.
- The video closes with a call to like, comment, share, and subscribe.
Speaker / Source:
- Daniel Carrión (presenter and instructor)
Category
Educational
