Question

 thực hiện phép tính sau

(151515/60606 + 151515/121212  +151515/202020  +151515/303030+  1515154/24242 )·28/12

Answer 1

\(\left(\frac{151515}{60606}+\frac{151515}{121212}+\frac{151515}{202020}+\frac{151515}{303030}+\frac{151515}{242424}\right)\cdot\frac{28}{12}\)

\(=\left(\frac{5}{2}+\frac{5}{4}+\frac{3}{4}+\frac{1}{2}+\frac{5}{8}\right)\cdot\frac{28}{12}\)

\(=\left[\left(\frac{5}{2}+\frac{1}{2}\right)+\left(\frac{5}{4}+\frac{3}{4}\right)+\frac{5}{8}\right]\cdot\frac{28}{12}\)

\(=\left(3+2+\frac{5}{8}\right)\cdot\frac{28}{12}\)

\(=\left(5+\frac{5}{8}\right)\cdot\frac{28}{12}\)

\(=\frac{45}{8}\cdot\frac{28}{12}\)

\(=\frac{105}{8}\)