Dividing Fractions and Mixed Numbers

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

What is a mixed number?

Back

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

Front

How do you find the reciprocal of a fraction?

Back

To find the reciprocal of a fraction, flip the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

What is the reciprocal of 2?

Back

The reciprocal of 2 is 1/2.

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 first step in dividing mixed numbers?

Back

Convert the mixed number to an improper fraction before dividing.

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 denominator by their greatest common factor (GCF).

Front

What is the GCF of 6 and 8?

Back

The GCF of 6 and 8 is 2.

Front

What is 3/4 ÷ 4 1/2?

Back

3/4 ÷ 4 1/2 = 1/6.