Dividing mixed numbers

The  exercise appears under the 7th grade (U.S.) Math Mission. This exercise practices the division operation on mixed numbers, both positive and negative.

Types of Problems
There is one type of problem in this exercise:


 * 1) Find the quotient of the mixed numbers: This problem has a division problem involving positive or negative mixed numbers. The student is expected to find the correct quotient and write the answer as a simplified proper or improper fraction in the space provided.

Strategies
Knowledge of division of fractions and experience with switching between mixed numbers and improper fractions are encouraged to ensure success on this exercise.
 * 1) Division of improper fractions is performed by multiplying by the reciprocal.
 * 2) Changing a mixed number a+b/c into an improper fraction is performed by calculating ((ac+b)/c), essentially combining the two numbers with a common denominator.
 * 3) The problem can be performed on a calculator but special care needs to be taken with parentheses.

Real-life Applications

 * 1) Mixed numbers are used in common speak, for example "one and a half sodas" is more common than "three halves of a soda."