(11/19) Multiplying and Dividing Fractions

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

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 is the whole number, and the remainder over the original denominator is the fraction.

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 11/4.

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 sum over the original denominator.

Front

What is the first step in multiplying fractions?

Back

The first step in multiplying fractions is to multiply the numerators together and then multiply the denominators together.

Front

What is the first step in dividing fractions?

Back

The first step in dividing fractions is to multiply by the reciprocal of the divisor.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator, such as the reciprocal of 3/4 is 4/3.

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 each of the integers without leaving a remainder.

Front

What is the result of multiplying 2/3 by 3/4?

Back

The result of multiplying 2/3 by 3/4 is 1/2.