Multiplying & Dividing Fractions

Front

What is a fraction?

Back

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

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, dividing by (a/b) is the same as multiplying by (b/a).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

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).

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.

Front

What is the least common multiple (LCM)?

Back

The LCM is the smallest multiple that two or more numbers share.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

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

How do you add fractions with different denominators?

Back

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