Divide Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 \frac{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 that over the original denominator. For example, 2 \frac{1}{2} = \frac{(2 \times 2) + 1}{2} = \frac{5}{2}.

Front

What is the first step in dividing mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction \frac{a}{b} is \frac{b}{a}.

Front

How do you simplify a fraction?

Back

Divide the numerator and the denominator by their greatest common divisor (GCD).

Front

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

Back

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

Front

What is the result of dividing a positive mixed number by a negative mixed number?

Back

The result will be a negative number.

Front

What is the result of dividing two negative mixed numbers?

Back

The result will be a positive number.

Front

How do you convert an improper fraction back to a mixed number?

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.