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Homework Statement
The answer to one of my maths questions is;
$$\frac{60x^{4}-240x}{3x^{4}+x^{3}-14x^{2}+4x+8} $$
Homework Equations
The Attempt at a Solution
Can this be simplified to;
$$\frac{20x^{4}-60x}{x^{3}-14x^{2}+8} $$
Yes, fractions with different denominators can be simplified by finding the lowest common denominator and converting the fractions to equivalent fractions with that denominator.
A fraction can be simplified further if the numerator and denominator have a common factor that can be divided out. You can also use the greatest common factor (GCF) to determine if a fraction can be simplified.
The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. This is also known as the lowest terms or reduced form of a fraction.
Yes, mixed numbers can be simplified by converting them to improper fractions and then simplifying. After simplifying, the result can be converted back to a mixed number if desired.
Simplifying fractions can make them easier to work with and understand. It can also help to compare fractions and perform operations on them. However, simplifying is not always necessary, especially if the fraction is already in its simplest form.