Adding and Subtracting Fractions

Front

What is the least common denominator (LCD) and why is it important when adding fractions?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important when adding fractions because it allows us to convert fractions to equivalent fractions with a common denominator, making it possible to add them.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD). Convert each fraction to an equivalent fraction with the LCD, then add the numerators and keep the common denominator.

Front

What is the process for simplifying a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). This reduces the fraction to its simplest form.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

What is the difference between a proper fraction and an improper fraction?

Back

A proper fraction has a numerator that is less than its denominator (e.g., 1/2), while an improper fraction has a numerator that is greater than or equal to its denominator (e.g., 5/4).

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find the least common denominator (LCD), convert each fraction to an equivalent fraction with the LCD, then subtract the numerators and keep the common denominator.

Front

What is the formula for adding two fractions?

Back

The formula for adding two fractions a/b and c/d is: (a*d + b*c) / (b*d).

Front

What is the formula for subtracting two fractions?

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The formula for subtracting two fractions a/b and c/d is: (a*d - b*c) / (b*d).

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How do you handle adding or subtracting mixed numbers?

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To add or subtract mixed numbers, first convert them to improper fractions, then follow the rules for adding or subtracting fractions, and finally convert back to a mixed number if necessary.