6.3A divide fractions- KCF

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

What is a reciprocal?

Back

A reciprocal of a number is 1 divided by that number. For a fraction, it is obtained by swapping 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 that result over the original denominator.

Front

What is the first step in dividing fractions?

Back

The first step is to find the reciprocal of the second fraction.

Front

What does KCF stand for in the context of dividing fractions?

Back

KCF stands for Keep, Change, Flip. It is a method used to remember the steps for dividing fractions: Keep the first fraction, Change the division sign to multiplication, and Flip the second 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

How do you simplify a fraction?

Back

To simplify a fraction, divide both 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) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

Can you divide by zero in fraction division?

Back

No, you cannot divide by zero. If the second fraction (the divisor) has a numerator of zero, the division is undefined.

Front

What is an example of dividing fractions?

Back

For example, to divide 1/2 by 3/4, you would multiply 1/2 by the reciprocal of 3/4, which is 4/3. The result is (1/2) * (4/3) = 4/6, which simplifies to 2/3.