Multiply & Divide Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

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

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two numbers is the largest number that divides both of them without leaving a remainder.

Front

What is the LCM (Least Common Multiple)?

Back

The LCM of two numbers is the smallest number that is a multiple of both.

Front

What is a mixed number?

Back

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

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.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their GCF.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

What does it mean to 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 and add the numerator. For example, 1 1/2 = (1*2 + 1)/2 = 3/2.