Question

Buna seara exercițiul 6

Answer 1

Explicație pas cu pas:

a)

$\frac{1}{2} \times \frac{12}{13} = \frac{ {2}^{2} \times 3}{2 \times 13} = \frac{2 \times 3}{13} = \frac{6}{13}$

b)

$\frac{3}{4} \times \frac{120}{360} = \frac{3}{ {2}^{2} } \times \frac{ {2}^{3} \times 3 \times 5}{ {2}^{3} \times {3}^{2} \times 5} = \frac{ {2}^{3} \times {3}^{2} \times 5}{ {2}^{5} \times{3}^{2} \times 5} = \frac{1}{ {2}^{2} } = \frac{1}{4}$

c)

$\frac{5}{17} \times \frac{153}{250} = \frac{5}{17} \times \frac{{3}^{2} \times 17}{2 \times {5}^{3} } = \frac{ {3}^{2} \times 5 \times 17}{ 2 \times {5}^{3} \times 17} = \frac{ {3}^{2} }{2 \times {5}^{2} } = \frac{9}{50}$

Answer 2

$\frac{5}{17} *\frac{153}{250} =\frac{5*153}{17*250} =\frac{765}{4250} =\frac{153}{850} =\frac{9}{50} =0,18$

$\frac{1}{2} *\frac{12}{13} =\frac{12}{26} =\frac{6}{13}$

$\frac{3}{4} *\frac{120}{360} =\frac{120*3}{4*360} =\frac{360}{1440} =\frac{1}{4}$