Mrs. Smith: Dividing Fractions

Front

What is dividing fractions?

Back

Dividing fractions involves multiplying 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. For example, the reciprocal of 3/4 is 4/3.

Front

How do you divide 6/7 by 3/7?

Back

To divide 6/7 by 3/7, multiply 6/7 by the reciprocal of 3/7, which is 7/3. The result is 6/7 * 7/3 = 6/3 = 2.

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 it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors.

Front

How do you simplify 44/54?

Back

To simplify 44/54, divide both the numerator and denominator by their greatest common divisor, which is 11. The simplified fraction is 4/6 or 2/3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 1 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 is the numerator of the proper fraction.

Front

What is the result of 1/4 ÷ 2/5?

Back

1/4 ÷ 2/5 = 1/4 * 5/2 = 5/8.

Front

What is the importance of finding the reciprocal in division of fractions?

Back

Finding the reciprocal is crucial because it allows us to convert the division problem into a multiplication problem, which is easier to solve.