Adding and Subtracting Fractions and Mixed Numbers

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).

Front

What is a mixed number?

Back

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

Front

How do you add fractions with the same denominator?

Back

Add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the first step in subtracting fractions?

Back

Ensure both fractions have the same denominator. If not, find a common denominator.

Front

How do you subtract fractions with the same denominator?

Back

Subtract the numerators and keep the denominator the same. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

What is the process for subtracting mixed numbers?

Back

Convert mixed numbers to improper fractions, find a common denominator, and then subtract.

Front

What is an improper fraction?

Back

An improper fraction has a numerator that is greater than or equal to its denominator, such as 5/4.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share.