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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Addition of Fractions
To add or subtract fractions, they must have a common denominator. The least common denominator (LCD) is the smallest multiple that both denominators share. In this case, the denominators are 10 and 3, and the LCD is 30. Once the fractions are expressed with the same denominator, you can combine the numerators accordingly.
Subtracting a negative number is equivalent to adding its positive counterpart. This concept is crucial in simplifying expressions involving subtraction. For example, in the expression 9/10 - (-4/3), the subtraction of -4/3 becomes an addition of 4/3, which alters the operation and affects the final result.
After performing operations on fractions, it is often necessary to simplify the result. Simplifying involves reducing the fraction to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). This step ensures that the final answer is presented in the simplest form, making it easier to understand and use.