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]

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

Answer 3

[Nguyễn Việt Lâm]

\(\dfrac{16\times25+44\times100}{29\times96+142\times48}=\dfrac{4\times4\times25+44\times100}{29\times96+71\times2\times48}\)

\(=\dfrac{4\times100+44\times100}{29\times96+71\times96}=\dfrac{100\times\left(4+44\right)}{96\times\left(29+71\right)}=\dfrac{100\times48}{96\times100}\)

\(=\dfrac{48}{96}=\dfrac{48}{48\times2}=\dfrac{1}{2}\)

Answer 4

[Nguyễn Lê Phước Thịnh]

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

\(=\dfrac{25\times4\times4+44\times100}{58\times48+142\times48}\)

\(=\dfrac{100\times\left(44+4\right)}{48\times\left(58+142\right)}=100\times\dfrac{48}{48\times200}\)

\(=\dfrac{100}{200}=\dfrac{1}{2}\)

Answer 5

[Ebe Marry Day]

\(\dfrac{16\text{×}25+44\text{×}100}{29\text{×}96+142\text{×}48}\)

\(=\dfrac{16\text{×}25+44\text{×}25\text{×}4}{29\text{×}48\text{×}2+142\text{×}48}=\dfrac{16\text{×}25+\left(44\text{×}4\right)25}{\left(29\text{×}2\right)48+142\text{×}48}=\dfrac{16\text{×}25+176\text{×}25}{58\text{×}48+142\text{×}48}=\dfrac{25\left(16+176\right)}{48\left(58+142\right)}=\dfrac{25\text{×}192}{48\text{×}200}=\dfrac{4800}{9600}=\dfrac{48}{96}=\dfrac{1}{2}\)