Math  /  Algebra

Question1. Reduce to lowest terms. a) 3xx3\frac{3 x}{x^{3}} b) 5x510x10\frac{5 x-5}{10 x-10} c) Express 14x\frac{1}{4-x} as a fraction with denominator x4x-4 d) Express as fractions with a common denominator. 2x\frac{2}{x} and 8y\frac{8}{y}

Studdy Solution
For part d), express 2x\frac{2}{x} and 8y\frac{8}{y} as fractions with a common denominator.
The common denominator for xx and yy is xyxy.
Rewrite each fraction with the common denominator:
2x=2yxy=2yxy \frac{2}{x} = \frac{2 \cdot y}{x \cdot y} = \frac{2y}{xy}
8y=8xyx=8xxy \frac{8}{y} = \frac{8 \cdot x}{y \cdot x} = \frac{8x}{xy}

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