Dividing Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a 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.

Front

What is the first step in dividing mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

What do you do after converting mixed numbers to improper fractions?

Back

Multiply 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.

Front

How do you simplify a fraction?

Back

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

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides both the numerator and denominator without leaving a remainder.

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.

Front

What is an example of dividing mixed numbers?

Back

To divide 2 1/2 by 1 1/3, convert to improper fractions: (5/2) ÷ (4/3) = (5/2) × (3/4) = 15/8 = 1 7/8.

Front

What does it mean to simplify your answer?

Back

To simplify your answer means to reduce it to its simplest form, making it easier to understand.