Multiply and Divide Fractions

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, a/b ÷ c/d = a/b × d/c.

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. For example, 2 3/4 = (2*4 + 3)/4 = 11/4.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 1 1/2 is a mixed number.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 5/4 is an improper fraction.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, a/b × c/d = (a*c)/(b*d).

Front

What is the result of 5 1/2 ÷ 4/5?

Back

The result is 6 7/8.

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 is the new numerator over the original denominator.

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

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

Back

The first step is to find the reciprocal of the divisor (the second fraction) and then multiply.

Front

What is the result of 4 1/2 × 3 2/3?

Back

The result is 33/2.