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Buna seara exercițiul 6

Buna Seara Exercițiul 6 class=

Răspuns :

Explicație pas cu pas:

a)

[tex] \frac{1}{2} \times \frac{12}{13} = \frac{ {2}^{2} \times 3}{2 \times 13} = \frac{2 \times 3}{13} = \frac{6}{13} [/tex]

b)

[tex] \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} [/tex]

c)

[tex] \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} [/tex]

[tex]\frac{5}{17} *\frac{153}{250} =\frac{5*153}{17*250} =\frac{765}{4250} =\frac{153}{850} =\frac{9}{50} =0,18[/tex]

[tex]\frac{1}{2} *\frac{12}{13} =\frac{12}{26} =\frac{6}{13}[/tex]

[tex]\frac{3}{4} *\frac{120}{360} =\frac{120*3}{4*360} =\frac{360}{1440} =\frac{1}{4}[/tex]