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Adding and subtracting negative fractions
Adding and subtracting fractions 256
Description
Exercise Name: Adding and subtracting negative fractions
Math Missions: 7th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Algebra basics Math Mission, Mathematics I Math Mission, Algebra II Math Mission, Mathematics III Math Mission
Types of Problems: 1

The Adding and subtracting negative fractions exercise appears under the 7th grade (U.S.) Math Mission, Arithmetic essentials Math Mission, Pre-algebra Math Mission, Algebra basics Math Mission, Mathematics I Math Mission, Algebra II Math Mission and Mathematics III Math Mission. This exercise practices adding and subtracting fractions in which the denominators are different.

Types of Problems

There is one type of problem in this exercise:

  1. Find the sum or difference of the fractions: This problem has either an addition or subtraction problem that involves fractions with unlike denominators. The user asked to find the correct simplified answer for the problem and type it in the space provided.
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    Find the sum or difference of the fractions

Strategies

The standard way to teach adding and subtracting fractions is to manipulate them to have common denominators. Knowledge of this process would be sufficient for completing this exercise.

  1. A shortcut for adding or subtracting any pair of fractions is to find {\frac{a}{b}+\frac{c}{d}=\frac{(ad+bc)}{(bd)}} and {\frac{a}{b}-\frac{c}{d}=\frac{(ad-bc)}{(bd)}} but this often requires additional simplification by reducing fractions.
  2. A calculator with the option to convert into fractions can assist with speed badges but could but violates the spirit of the exercise.

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.
  3. Negative numbers are used to describe values on a scale that goes below zero, such as the Celsius and Fahrenheit scales for temperature.

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