It follows from the multiplication property of equality. Dividing both sides of an equation by the same number (not by zero, of course) is the same as multiply both sides of the equation by the number's reciprocal. For example, dividing both sides of an equation by 2 is the same as multiplying both sides by 0.5.
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Equality means the state of being equal, especially in status, rights, and opportunities.
Sameness. It means the quality or state of being equal.
equality is the adjective and equal is noun.
Equality is the state or quality of being equal; correspondence in quantity, degree, value, rank, or ability. In math, it is a statement that two quantities are equal; equation.