Divide Fractions and Mixed Numbers x2

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 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 divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

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 convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

Example: Convert 2 1/3 to an improper fraction.

Back

2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the first step in dividing a mixed number by a fraction?

Back

Convert the mixed number to an improper fraction.

Front

Example: Divide 12 1/2 by 3 5/6.

Back

Convert 12 1/2 to 25/2 and 3 5/6 to 23/6, then multiply by the reciprocal: (25/2) ÷ (23/6) = (25/2) * (6/23) = 75/46.

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 greatest common divisor.

Front

Example: Simplify 8/12.

Back

8/12 = 2/3 (dividing both by 4).