Adding and Subtracting Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

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How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

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How do you add fractions with different denominators?

Back

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

Front

What is the Least Common Denominator (LCD)?

Back

The Least Common Denominator (LCD) is the smallest multiple that two or more denominators share. It is used to add or subtract fractions with different denominators.

Front

How do you find the LCD of two fractions?

Back

To find the LCD of two fractions, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

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What is the process for subtracting fractions?

Back

To subtract fractions, if they have the same denominator, subtract the numerators and keep the denominator. If they have different denominators, find the LCD, convert the fractions, and then subtract the numerators.

Front

What is the simplest form of a fraction?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.

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How do you convert a fraction to its simplest form?

Back

To convert a fraction to its simplest form, divide both the numerator and denominator by their greatest common divisor (GCD).

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

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What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 1/4.