Question

(5)/(2)+5\times [(3)/(2)\times ((1)/(2)+(1)/(3))]

Answer 1

Respuesta:

$\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{1}{2}+\frac{1}{3}\right)\right]=\frac{35}{4}$

Explicación paso a paso:

$\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{1}{2}+\frac{1}{3}\right)\right]$

$\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{1}{2}+\frac{1}{3}\right)\right]\\\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{3}{6}+\frac{2}{6}\right)\right]\\\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{3+2}{6}\right)\right]\\\frac{5}{2}+5\times \:\left[\frac{3}{2}\times \left(\frac{5}{6}\right)\right]\\\frac{5}{2}+5\times \:\left[ \frac{3\times \:5}{2\times \:6}\right]\\\frac{5}{2}+5\times \:\left[\frac{15}{12}\right]$

$\frac{5}{2}+5\times \:\left[\frac{5}{4}\right]\\\frac{5}{2}+\frac{5}{1}\times \frac{5}{4}\right]\\\frac{5}{2}+\frac{5\times \:5}{1\times \:4}\right]\\\frac{5}{2}+\frac{25}{4}\right]\\\frac{10}{4}+\frac{25}{4}\\\frac{10+25}{4}\\\frac{35}{4}$