Common Denominator Practice Problems

MathSci Problems Common Denominator Practice Problems The lowest common denominator (LCD) is the smallest expression that both denominators can divide into evenly. This is often found by factoring each denominator, then combining all unique factors with their highest exponents. Practice Problems State the lowest common denominator: 38,5772frac{3}{8}, quad frac{57}{72} State the lowest common denominator: −23x3y4,59x2y6frac{-2}{3x^3 […]

Simplifying rational expressions practice

MathSci Problems Simplifying Rational Expressions Practice Practice Problems Simplify fully: 6x+1210x+20frac{6x + 12}{10x + 20} Simplify fully: 2×2−8×4−xfrac{2x^2 – 8x}{4 – x} Simplify fully: x2+7x−1812−4x−x2frac{x^2 + 7x – 18}{12 – 4x – x^2} Simplify fully: x−y2x×x2(x−y)2frac{x-y}{2x} times frac{x^2}{(x-y)^2} Simplify fully: x2−16×2+8x+16frac{x^2 – 16}{x^2 + 8x + 16} Simplify fully: x−2x+3×2+x−2×2−4frac{frac{x-2}{x+3}}{frac{x^2 + x – 2}{x^2 – […]

Non-Permissible Values Practice

MathSci Problems Non-Permissible Values Practice A non-permissible value (sometimes called a restriction) is a value of the variable that would make the denominator of a fraction equal to zero. Since division by zero is undefined, we must exclude these values from the domain of the expression. When finding non-permissible values, you don’t need to simplify […]