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

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 over the original denominator is the fraction.

Front

What is a reciprocal?

Back

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

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their GCF.

Front

What is the result of multiplying a fraction by 1?

Back

Multiplying any fraction by 1 gives the same fraction. For example, (a/b) * 1 = a/b.