Question

(frac{x}{2}-frac{x}{3})cdotfrac{5}x^{2}

Answer 1

$\left(frac{x}{2}-frac{x}{3}right)cdotfrac{5}x^{2}=left(frac{x}{2}-frac{x}{3}right)cdotfrac{5}{x^{2}}=frac{x}2cdotfrac5{x^2}-frac{x}3cdotfrac5{x^2}=frac5{2x}-frac5{3x}=frac{15x-10x}{6x}=frac{5x}{6x}=frac56$