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The Adding and subtracting mixed numbers with unlike denominators exercise appears under the 5th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission and Mathematics I Math Mission. This exercise practices arithmetic with mixed numbers.

Types of Problems

There is one type of problem in this exercise:

1. Find the sum or difference: This problem has an arithmetic problem posed which is either addition or subtraction of two mixed numbers. The student is expected to type the correct simplified mixed number answer in the available space.

Strategies

This exercise is medium to get accuracy badges because some care needs to be taken when "distributing" through the mixed number. Speed badges are medium because of the amount of time it takes to perform these operations.

1. The answer must be submitted in a mixed number form, example, ${a}$${\frac{b}{c}}$.
2. If one is familiar with TI83Basic, they can see if they can figure out how to use the code to insert three numbers and have the calculator arrive at the answer.
Prompt A,B,C
int(A+B+C)->D
Disp D,(A+B+C-D)>Frac

Real-life Applications

1. Fractions, decimals, and percents are used in many sports such as basketball to determine how many field goals the player has made over how many they attempted.
2. Fractions are used in real life in many different ways, but they are most commonly used in the cooking, construction and science industries.