Convert $$\frac{2}{4}$$ and $$\frac{4}{12}$$ to have a common denominator.

The common denominator is 12. Convert: $$\frac{2}{4} = \frac{6}{12}$$ and $$\frac{4}{12} = \frac{4}{12}$$ .

Convert $$\frac{3}{6}$$ and $$\frac{1}{3}$$ to have a common denominator.

The common denominator is 6. Convert: $$\frac{3}{6} = \frac{3}{6}$$ and $$\frac{1}{3} = \frac{2}{6}$$ .

Convert $$\frac{1}{5}$$ and $$\frac{2}{20}$$ to have a common denominator.

The common denominator is 20. Convert: $$\frac{1}{5} = \frac{4}{20}$$ and $$\frac{2}{20} = \frac{2}{20}$$ .

What is the formula for multiplying fractions?

To multiply fractions, multiply the numerators together and the denominators together: $$\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}$$ .

How do you simplify a fraction?

To simplify a fraction, divide the numerator and denominator by their greatest common factor (GCF).

What is the greatest common factor (GCF)?

The GCF is the largest number that divides two or more numbers without leaving a remainder.

What is the relationship between fractions and decimals?

Fractions can be converted to decimals by dividing the numerator by the denominator.

How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

What is the importance of finding a common denominator in fraction operations?

Finding a common denominator is crucial for accurately adding, subtracting, or comparing fractions.

Making Common Denominators Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added, subtracted, or compared.

2.

FLASHCARD QUESTION

Front

How do you find the least common denominator (LCD)?

Back

To find the LCD, list the multiples of each denominator and identify the smallest multiple that is common to all.

3.

FLASHCARD QUESTION

Front

What is the process to convert fractions to have a common denominator?

Back

Multiply the numerator and denominator of each fraction by the necessary factor to make the denominators equal to the LCD.

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