Dividing Fractions Review

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to divide fractions?

Back

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

Front

How do you find the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. For example, the reciprocal of 3/4 is 4/3.

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 a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2 5/8 = (2*8 + 5)/8 = 21/8.

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 9/4.

Front

What is the lowest terms of a fraction?

Back

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

Front

How do you simplify a fraction?

Back

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

Front

What is the quotient of 1/2 ÷ 1/4?

Back

The quotient is 1/2 ÷ 1/4 = 1/2 * 4/1 = 2.

Front

What is the quotient of 3/5 ÷ 2/3?

Back

The quotient is 3/5 ÷ 2/3 = 3/5 * 3/2 = 9/10.