Perform the indicaled operations, if defined. If the result is not an integer, express it in the

step 1 In this problem, I'm going to take eight -ninths and subtract four -fifths. So I have to start b

Perform the indicaled operations, if defined. If the result...

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Key Concepts

Rational Number Arithmetic

This concept involves operations performed on numbers expressed as fractions. Rational numbers are numbers that can be expressed as the quotient of two integers (with the denominator not equal to zero), and arithmetic operations like addition, subtraction, multiplication, and division follow specific rules designed for these types of numbers.

Common Denominator

When adding or subtracting fractions, a common denominator is required. This is because fractions must have the same denominator to combine them directly. The common denominator is usually the least common multiple (LCM) of the original denominators, which allows the numerators to be adjusted properly for the operation.

Fraction Subtraction

Subtraction of fractions involves rewriting each fraction with a common denominator so that the numerators can be directly subtracted. Once both fractions share a common denominator, the subtraction is performed on the numerators while keeping the denominator intact.

Simplifying Fractions

After performing operations on fractions, the result is often simplified to its lowest terms. This simplification is achieved by dividing both the numerator and the denominator by their greatest common divisor (GCD), ensuring that the fraction is expressed in its most reduced form.

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