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 does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

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

Back

The least common denominator is the smallest multiple that both denominators share. You can find it by listing the multiples or using the greatest common factor.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

Convert the mixed number 2 1/4 to an improper fraction.

Back

2 1/4 = 9/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator, convert the fractions to equivalent fractions with that denominator, and then add the numerators.

Front

What is the process to subtract fractions?

Back

To subtract fractions, ensure they have the same denominator, then subtract the numerators and keep the denominator the same.

Front

What is the result of 1/2 + 1/3?

Back

1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Front

What is the result of 3/4 - 1/2?

Back

3/4 - 1/2 = 3/4 - 2/4 = 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.