Question

[Trần Thị Diệu Huyền]

Tính thuận tiện:

16x25+44x100/29x96+142x48

Answer 1

[456]

\(\dfrac{16\times25+44\times100}{29\times96+142\times48}\)

\(=\dfrac{16\times25+44\times4\times25}{29\times48\times2+142\times48}\)

\(=\dfrac{16\times25+176\times25}{58\times48+142\times48}\)

\(=\dfrac{\left(16+176\right)\times25}{\left(58+142\right)\times48}\)

\(=\dfrac{192\times25}{200\times48}\)

\(=\dfrac{1\times1}{2\times1}\)

\(=\dfrac{1}{2}\)

Answer 2

[Trịnh Minh Hoàng]

\(\dfrac{16\times25+44\times100}{29\times96+142\times48}\\ =\dfrac{2\times8\times25+22\times2\times100}{29\times2\times48+142\times48}\\ =\dfrac{2\times200+22\times200}{58\times48+142\times48}\\ =\dfrac{200\times\left(2+22\right)}{\left(58+142\right)\times48}\\ =\dfrac{200\times24}{200\times48}\\ =\dfrac{24}{48}\\ =\dfrac{1}{2}\)