Simplifying hairy fractions

The  exercise appears under the 7th grade (U.S.) Math Mission. This exercise practices the idea of "dividing by a fraction is the same as multiplying by it's reciprocal."

Types of Problems
There are three types of problems in this exercise:


 * 1) Find the error: This problem provides a step-by-step reasoning for an arithmetic problem. The student is asked to read the steps and determine at which step an error occurred.Comfra1.png
 * 2) Find the equivalent expression: This problem has the division of two fractions. The student is asked to determine which of a list of possibilities represents the same result.Comfra2-too.png
 * 3) Find the result: This problem asks for the value of the quotient of two fractions. The student is expected to find the simplified correct answer and write it in the space that is provided.Comfra3.png

Strategies
Knowledge of operations on positive and negative numbers and comfort with dividing by fractions are encouraged to ensure success on this exercise.
 * 1) A fraction divided by another fraction is equivalent to the first fraction being multiplied by the reciprocal of the second.

Real-life Applications

 * 1) Familiarity with operations on integers will lead into comfort with other more advanced numbers, such as radicals, fractions and even imaginary numbers.