Adding and Subtracting Fractions

Front

What is the process for adding fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, \( \frac{a}{c} + \frac{b}{c} = \frac{a+b}{c} \).

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, \( \frac{a}{c} - \frac{b}{c} = \frac{a-b}{c} \).

Front

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

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important for adding or subtracting fractions with different denominators, as it allows you to convert the fractions to equivalent fractions with a common denominator.

Front

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

Back

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

Front

What is the first step in adding fractions with different denominators?

Back

The first step in adding fractions with different denominators is to find the least common denominator (LCD) for the fractions.

Front

How do you convert a fraction to an equivalent fraction with a different denominator?

Back

To convert a fraction to an equivalent fraction with a different denominator, multiply both the numerator and the denominator by the same number. For example, to convert \( \frac{a}{b} \) to a denominator of \( d \), multiply by \( \frac{d}{d} \).

Front

What is a mixed number and how is it represented?

Back

A mixed number is a whole number combined with a proper fraction. It is represented as \( a \frac{b}{c} \), where \( a \) is the whole number, \( b \) is the numerator, and \( c \) is the denominator.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder becomes the numerator of the proper fraction.

Front

What is the process for adding mixed numbers?

Back

To add mixed numbers, first add the whole numbers together, then add the fractions. If the fraction sum is improper, convert it to a mixed number and add it to the whole number sum.

Front

How do you simplify a fraction?

Back

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