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In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The ratio of numbers A and B can be expressed as: [6]. the ratio of A to B; A:B; A is to B (when followed by "as C is to D "; see below); a fraction with A as numerator and B as denominator that represents the quotient (i.e., A divided by B, or).
The oldest and most elementary definitions are based on the geometry of right triangles and the ratio between their sides. The proofs given in this article use these definitions, and thus apply to non-negative angles not greater than a right angle. For greater and negative angles, see Trigonometric functions.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
For example, a fund with a 0.08% expense ratio would charge you $8 per year for every $10,000 you invest. Some money market funds may also carry other fees, such as transaction fees or load fees ...
Trigonometric ratios can also be represented using the unit circle, which is the circle of radius 1 centered at the origin in the plane. [37] In this setting, the terminal side of an angle A placed in standard position will intersect the unit circle in a point (x,y), where x = cos A {\displaystyle x=\cos A} and y = sin A {\displaystyle ...
Robo-advisors simplify the work you need to invest by using several automated processes: ... typically called expense ratios that generally range from 0.01% to 0.40%. However, most robo-advisors ...
In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1.