Dividing Fractions

Front

What is the process for dividing 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.

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 the result over the original denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

What is the result of dividing a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number.

Front

What is the result of dividing a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction.

Front

What is the first step in solving a division problem involving fractions?

Back

The first step is to identify the fractions involved and determine the reciprocal of the divisor.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What does it mean to 'divide by zero'?

Back

Dividing by zero is undefined in mathematics, as there is no number that can be multiplied by zero to yield a non-zero number.