Question

[Hữu Đạt Nguyễn]

Tính bằng cách thuận tiện nhất ;

30/11 x 66/25 x75/210

(8/11+3/12)+3/11

Answer 1

[Gukmin]

\(\frac{30}{11}\times\frac{66}{25}\times\frac{75}{210}\)

\(=\frac{30\times6\times11\times3\times25}{11\times25\times30\times7}\)

\(=\frac{18}{7}\)

\(\left(\frac{8}{11}+\frac{3}{12}\right)+\frac{3}{11}\)

\(=\frac{8}{11}+\frac{3}{12}+\frac{3}{11}\)

\(=\left(\frac{8}{11}+\frac{3}{11}\right)+\frac{3}{12}\)

\(=1+\frac{3}{12}\)

\(=\frac{5}{4}\)

Matcha

Answer 2

[Kiyotaka Ayanokoji]

\(\frac{30}{11}\times\frac{66}{25}\times\frac{75}{210}\)

\(=\frac{30\times66\times75}{11\times25\times210}\)

\(=\frac{1\times6\times3}{1\times1\times7}\)

\(=\frac{18}{7}\)

\(\left(\frac{8}{11}+\frac{3}{12}\right)+\frac{3}{11}\)

\(=\frac{8}{11}+\frac{3}{12}+\frac{3}{11}\)

\(=1+\frac{3}{12}\)

\(=1+\frac{1}{4}\)

\(=\frac{5}{4}\)