Dividing Fractions

Front

What is the process to simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is a reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the result of dividing a whole number by a fraction?

Back

Dividing a whole number by a fraction is equivalent to multiplying the whole number by the reciprocal of the fraction.

Front

What is the greatest common divisor (GCD)?

Back

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

Front

How can 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 the result over the original denominator.

Front

What is the relationship between division and multiplication in terms of fractions?

Back

Division of fractions can be transformed into multiplication by using the reciprocal of the divisor.

Front

How do you find the number of pieces when cutting a length into smaller fractions?

Back

To find the number of pieces, divide the total length by the length of each piece.

Front

What is the significance of the denominator in a fraction?

Back

The denominator indicates how many equal parts the whole is divided into.

Front

What does it mean to have a fraction in simplest form?

Back

A fraction is in simplest form when the numerator and denominator have no common factors other than 1.