DIVIDING FRACTIONS

Front

What is the process for dividing fractions?

Back

To divide fractions, use the 'Keep, Change, Flip' (KCF) method: Keep the first fraction, change the division sign to multiplication, and flip the second fraction (take its reciprocal). Then multiply the numerators and denominators.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

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) is the largest positive integer that divides two or more integers without leaving a remainder.

Front

What is the result of dividing 6/7 by 3/7?

Back

The result is 2. This is calculated by multiplying 6/7 by the reciprocal of 3/7, which is 7/3.

Front

What is the quotient of 12/20 in lowest terms?

Back

The quotient of 12/20 in lowest terms is 3/5.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.

Front

What is a mixed number?

Back

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

Front

What is the relationship between division and multiplication of fractions?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, a ÷ (b/c) is the same as a × (c/b).

Front

What is the result of dividing 2 gallons by 1/2 gallon?

Back

The result is 4, meaning you can fill 4 half-gallon containers with 2 gallons.