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).

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 or 7/7.

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 the result 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 number that can be used as a common denominator for two or more fractions.

Front

How do you add fractions with different denominators?

Back

Find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then add the numerators.

Front

How do you subtract fractions with different denominators?

Back

Find the least common denominator, convert each fraction to an equivalent fraction with the LCD, and then subtract the numerators.

Front

What is the process to simplify a fraction?

Back

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

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/4.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the sum of 1/4 and 1/2?

Back

1/4 + 1/2 = 1/4 + 2/4 = 3/4.