Podcast
Questions and Answers
Which method is used to simplify $ rac{3}{9}$?
Which method is used to simplify $ rac{3}{9}$?
- Divide both numerator and denominator by 3 (correct)
- Subtract 3 from both numerator and denominator
- Multiply both numerator and denominator by 3
- Add 3 to both numerator and denominator
Using the keep, change, flip method, what is the result of $ rac{3}{4} ext{ divided by } rac{1}{2}$?
Using the keep, change, flip method, what is the result of $ rac{3}{4} ext{ divided by } rac{1}{2}$?
- $ rac{6}{4}$
- $ rac{3}{1}$
- $ rac{3}{2}$
- $ rac{3}{8}$ (correct)
What is the result of $ rac{5}{6} - rac{1}{2}$?
What is the result of $ rac{5}{6} - rac{1}{2}$?
- $ rac{2}{3}$ (correct)
- $ rac{1}{3}$
- $ rac{11}{12}$
- $ rac{4}{12}$
If $8/20 = N/80$, what is the value of N?
If $8/20 = N/80$, what is the value of N?
What is the result of $N$ when solving for $8/20 = N/120$?
What is the result of $N$ when solving for $8/20 = N/120$?
In the equation $N/60 = 8/20$, what will N equal if both fractions are proportional?
In the equation $N/60 = 8/20$, what will N equal if both fractions are proportional?
If $12/30 = N/90$, what does N represent?
If $12/30 = N/90$, what does N represent?
Flashcards
Adding Fractions (Same Denominator)
Adding Fractions (Same Denominator)
To add fractions with the same denominator, simply add the numerators and keep the denominator the same.
Adding Fractions (Different Denominators)
Adding Fractions (Different Denominators)
To add fractions with different denominators, find a common denominator by multiplying both the numerator and denominator of each fraction by the appropriate value. Then, add the numerators.
Subtracting Fractions (Same Denominator)
Subtracting Fractions (Same Denominator)
To subtract fractions with the same denominator, simply subtract the numerators and keep the denominator the same.
Multiplying Fractions
Multiplying Fractions
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Dividing Fractions
Dividing Fractions
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Common Denominator
Common Denominator
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Scaling the Numerator
Scaling the Numerator
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Proportional Fractions
Proportional Fractions
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Solving for N
Solving for N
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Fraction Equivalence
Fraction Equivalence
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Study Notes
Fractions - Addition
- If denominators are the same, add the numerators
- Example: 1/5 + 3/5 = 4/5
Fractions - Addition (Different Denominators)
- Find the least common denominator (LCD)
- Multiply the numerator and denominator by the same number to get the LCD
- Add the resulting numerators
- Example: 1/2 + 3/7 = 7/14 + 6/14 = 13/14
Fractions - Subtraction
- If denominators are the same, subtract the numerators
- Example: 8/9 - 5/9 = 3/9 = 1/3
Fractions - Subtraction (Different Denominators)
- Find the least common denominator (LCD)
- Multiply the numerator and denominator by the same number to get the LCD
- Subtract the resulting numerators
- Example: 3/9 - 1/3 = 1/3 - 1/3 = 0
Fractions - Multiplication
- Multiply the numerators and denominators
- Simplify the resulting fraction
- Example: 1/3 x 3/5 = 3/15 = 1/5
Fractions - Division
- Change the division sign to multiplication
- Flip the second fraction (reciprocal)
- Multiply the fractions
- Example: 1/4 ÷ 5/4 = 1/4 x 4/5 = 4/20 = 1/5
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